40939521168000 has 1536 divisors, whose sum is σ = 170312729932800. Its totient is φ = 8622725529600.

The previous prime is 40939521167971. The next prime is 40939521168053. The reversal of 40939521168000 is 86112593904.

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 191 ways as a sum of consecutive naturals, for example, 30851183337 + ... + 30851184663.

It is an arithmetic number, because the mean of its divisors is an integer number (110880683550).

Almost surely, 2^{40939521168000} is an apocalyptic number.

40939521168000 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 40939521168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85156364966400).

40939521168000 is an abundant number, since it is smaller than the sum of its proper divisors (129373208764800).

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

40939521168000 is a wasteful number, since it uses less digits than its factorization.

40939521168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 40939521168000 in words is "forty trillion, nine hundred thirty-nine billion, five hundred twenty-one million, one hundred sixty-eight thousand".