466294131403920 has 1280 divisors, whose sum is σ = 1771333484544000. Its totient is φ = 112296002918400.

The previous prime is 466294131403879. The next prime is 466294131403937. The reversal of 466294131403920 is 29304131492664.

It is a happy number.

466294131403920 is a `hidden beast` number, since 4 + 6 + 6 + 294 + 1 + 314 + 0 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 199356190111 + ... + 199356192449.

It is an arithmetic number, because the mean of its divisors is an integer number (1383854284800).

Almost surely, 2^{466294131403920} is an apocalyptic number.

466294131403920 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 466294131403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885666742272000).

466294131403920 is an abundant number, since it is smaller than the sum of its proper divisors (1305039353140080).

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

466294131403920 is a wasteful number, since it uses less digits than its factorization.

466294131403920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 466294131403920 in words is "four hundred sixty-six trillion, two hundred ninety-four billion, one hundred thirty-one million, four hundred three thousand, nine hundred twenty".