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1374465842640 = 2433511217714357
BaseRepresentation
bin10100000000000100100…
…011000101110111010000
311212101201212222012112000
4110000010203011313100
5140004401223431030
62531230525034000
7201205354616412
oct24000443056720
94771655865460
101374465842640
1148a9a9154a00
121a24699b5900
139c7c4819217
144a74b3389b2
1525b46628860
hex140048c5dd0

1374465842640 has 960 divisors, whose sum is σ = 5588777295360. Its totient is φ = 309115699200.

The previous prime is 1374465842611. The next prime is 1374465842641. The reversal of 1374465842640 is 462485644731.

1374465842640 is a `hidden beast` number, since 1 + 37 + 4 + 4 + 6 + 584 + 26 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374465842641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 315459342 + ... + 315463698.

It is an arithmetic number, because the mean of its divisors is an integer number (5821643016).

Almost surely, 21374465842640 is an apocalyptic number.

1374465842640 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 1374465842640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794388647680).

1374465842640 is an abundant number, since it is smaller than the sum of its proper divisors (4214311452720).

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

1374465842640 is a wasteful number, since it uses less digits than its factorization.

1374465842640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 1374465842640 in words is "one trillion, three hundred seventy-four billion, four hundred sixty-five million, eight hundred forty-two thousand, six hundred forty".