40537890766080 has 864 divisors, whose sum is σ = 147716783585280. Its totient is φ = 10251400642560.

The previous prime is 40537890766057. The next prime is 40537890766117. The reversal of 40537890766080 is 8066709873504.

40537890766080 is a `hidden beast` number, since 4 + 0 + 537 + 8 + 90 + 7 + 6 + 6 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40537890765999 and 40537890766017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3591550197 + ... + 3591561483.

It is an arithmetic number, because the mean of its divisors is an integer number (170968499520).

Almost surely, 2^{40537890766080} is an apocalyptic number.

40537890766080 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 40537890766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73858391792640).

40537890766080 is an abundant number, since it is smaller than the sum of its proper divisors (107178892819200).

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

40537890766080 is a wasteful number, since it uses less digits than its factorization.

40537890766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11547 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 40537890766080 in words is "forty trillion, five hundred thirty-seven billion, eight hundred ninety million, seven hundred sixty-six thousand, eighty".