46412247132400 has 60 divisors (see below), whose sum is σ = 111537907496992. Its totient is φ = 18559490526720.

The previous prime is 46412247132397. The next prime is 46412247132443. The reversal of 46412247132400 is 423174221464.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15526104 + ... + 18272503.

Almost surely, 2^{46412247132400} is an apocalyptic number.

46412247132400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46412247132400 is an abundant number, since it is smaller than the sum of its proper divisors (65125660364592).

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

46412247132400 is a wasteful number, since it uses less digits than its factorization.

46412247132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33802058 (or 33802047 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 46412247132400 in words is "forty-six trillion, four hundred twelve billion, two hundred forty-seven million, one hundred thirty-two thousand, four hundred".