40092965120 has 288 divisors, whose sum is σ = 106391426400. Its totient is φ = 14470250496.

The previous prime is 40092965041. The next prime is 40092965207. The reversal of 40092965120 is 2156929004.

It can be written as a sum of positive squares in 16 ways, for example, as 40076836864 + 16128256 = 200192^2 + 4016^2 .

It is a super-2 number, since 2×40092965120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149044346 + ... + 149044614.

It is an arithmetic number, because the mean of its divisors is an integer number (369414675).

Almost surely, 2^40092965120 is an apocalyptic number.

40092965120 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 40092965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53195713200).

40092965120 is an abundant number, since it is smaller than the sum of its proper divisors (66298461280).

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

40092965120 is an equidigital number, since it uses as much as digits as its factorization.

40092965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 40092965120 in words is "forty billion, ninety-two million, nine hundred sixty-five thousand, one hundred twenty".