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1340637019920 = 243451167280717
BaseRepresentation
bin10011100000100100001…
…100010111111100010000
311202011102022001221210000
4103200210030113330100
5133431111034114140
62503514040010000
7165600143435202
oct23404414277420
94664368057700
101340637019920
11477619713780
121979a8760900
1399563137863
1448c5c5b8772
1524d167dda30
hex13824317f10

1340637019920 has 400 divisors, whose sum is σ = 5155356875328. Its totient is φ = 320150983680.

The previous prime is 1340637019919. The next prime is 1340637019921. The reversal of 1340637019920 is 299107360431.

1340637019920 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 637 + 0 + 1 + 9 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1340637019919) and next prime (1340637019921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1340637019921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4635402 + ... + 4916118.

Almost surely, 21340637019920 is an apocalyptic number.

1340637019920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340637019920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577678437664).

1340637019920 is an abundant number, since it is smaller than the sum of its proper divisors (3814719855408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1340637019920 is a wasteful number, since it uses less digits than its factorization.

1340637019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280820 (or 280805 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 1340637019920 in words is "one trillion, three hundred forty billion, six hundred thirty-seven million, nineteen thousand, nine hundred twenty".