40064457127200 has 576 divisors, whose sum is σ = 146175337929600. Its totient is φ = 9445883904000.

The previous prime is 40064457127199. The next prime is 40064457127231. The reversal of 40064457127200 is 272175446004.

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, 2560184976 + ... + 2560200624.

It is an arithmetic number, because the mean of its divisors is an integer number (253776628350).

Almost surely, 2^{40064457127200} is an apocalyptic number.

40064457127200 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 40064457127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73087668964800).

40064457127200 is an abundant number, since it is smaller than the sum of its proper divisors (106110880802400).

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

40064457127200 is a wasteful number, since it uses less digits than its factorization.

40064457127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18341 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 40064457127200 in words is "forty trillion, sixty-four billion, four hundred fifty-seven million, one hundred twenty-seven thousand, two hundred".