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40740840000 = 263354717317
BaseRepresentation
bin100101111100010101…
…111110001001000000
310220011022002002221000
4211330111332021000
51131414123340000
630414401332000
72641411266120
oct457425761100
9126138062830
1040740840000
1116307162103
127a90037000
133ac36c0923
141d86b36c80
1510d6a75000
hex97c57e240

40740840000 has 1120 divisors, whose sum is σ = 181678844160. Its totient is φ = 8736768000.

The previous prime is 40740839977. The next prime is 40740840029. The reversal of 40740840000 is 4804704.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 128519842 + ... + 128520158.

Almost surely, 240740840000 is an apocalyptic number.

40740840000 is a gapful number since it is divisible by the number (40) 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 40740840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90839422080).

40740840000 is an abundant number, since it is smaller than the sum of its proper divisors (140938004160).

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

40740840000 is a wasteful number, since it uses less digits than its factorization.

40740840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 40740840000 in words is "forty billion, seven hundred forty million, eight hundred forty thousand".