40421148117600 has 144 divisors (see below), whose sum is σ = 131578869819600. Its totient is φ = 10778314752000.

The previous prime is 40421148117557. The next prime is 40421148117629. The reversal of 40421148117600 is 671184112404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39451800 + ... + 40463400.

It is an arithmetic number, because the mean of its divisors is an integer number (913742151525).

Almost surely, 2^{40421148117600} is an apocalyptic number.

40421148117600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40421148117600 is an abundant number, since it is smaller than the sum of its proper divisors (91157721702000).

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

40421148117600 is a wasteful number, since it uses less digits than its factorization.

40421148117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028273 (or 1028260 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 40421148117600 in words is "forty trillion, four hundred twenty-one billion, one hundred forty-eight million, one hundred seventeen thousand, six hundred".