46224664040400 has 60 divisors (see below), whose sum is σ = 148073007146592. Its totient is φ = 12326577077120.

The previous prime is 46224664040389. The next prime is 46224664040407. The reversal of 46224664040400 is 404046642264.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46224664040407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19260275484 + ... + 19260277883.

Almost surely, 2^{46224664040400} is an apocalyptic number.

46224664040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46224664040400 is an abundant number, since it is smaller than the sum of its proper divisors (101848343106192).

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

46224664040400 is a wasteful number, since it uses less digits than its factorization.

46224664040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38520553388 (or 38520553377 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 46224664040400 in words is "forty-six trillion, two hundred twenty-four billion, six hundred sixty-four million, forty thousand, four hundred".