40076230656000 has 1152 divisors, whose sum is σ = 166299157140480. Its totient is φ = 8326742016000.

The previous prime is 40076230655963. The next prime is 40076230656001. The reversal of 40076230656000 is 65603267004.

It is a super-2 number, since 2×40076230656000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40076230656000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40076230656001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3784698706 + ... + 3784709294.

It is an arithmetic number, because the mean of its divisors is an integer number (144356907240).

Almost surely, 2^{40076230656000} is an apocalyptic number.

40076230656000 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 40076230656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83149578570240).

40076230656000 is an abundant number, since it is smaller than the sum of its proper divisors (126222926484480).

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

40076230656000 is an equidigital number, since it uses as much as digits as its factorization.

40076230656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10659 (or 10617 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 40076230656000 in words is "forty trillion, seventy-six billion, two hundred thirty million, six hundred fifty-six thousand".