40964087424000 has 1408 divisors, whose sum is σ = 149715921438720. Its totient is φ = 9881518080000.

The previous prime is 40964087423999. The next prime is 40964087424017. The reversal of 40964087424000 is 42478046904.

It is a super-2 number, since 2×40964087424000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56973695641 + ... + 56973696359.

Almost surely, 2^{40964087424000} is an apocalyptic number.

40964087424000 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 40964087424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74857960719360).

40964087424000 is an abundant number, since it is smaller than the sum of its proper divisors (108751834014720).

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

40964087424000 is a wasteful number, since it uses less digits than its factorization.

40964087424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 40964087424000 in words is "forty trillion, nine hundred sixty-four billion, eighty-seven million, four hundred twenty-four thousand".