40033938178944 has 256 divisors, whose sum is σ = 118314072576000. Its totient is φ = 13326777372672.

The previous prime is 40033938178931. The next prime is 40033938178951. The reversal of 40033938178944 is 44987183933004.

40033938178944 is a `hidden beast` number, since 40 + 0 + 339 + 3 + 8 + 178 + 94 + 4 = 666.

It is a super-2 number, since 2×40033938178944² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 14756334132 + ... + 14756336844.

It is an arithmetic number, because the mean of its divisors is an integer number (462164346000).

Almost surely, 2^{40033938178944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40033938178944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59157036288000).

40033938178944 is an abundant number, since it is smaller than the sum of its proper divisors (78280134397056).

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

40033938178944 is a wasteful number, since it uses less digits than its factorization.

40033938178944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6882 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 40033938178944 in words is "forty trillion, thirty-three billion, nine hundred thirty-eight million, one hundred seventy-eight thousand, nine hundred forty-four".