461427944592384 has 3520 divisors, whose sum is σ = 1872941723136000. Its totient is φ = 111841822310400.

The previous prime is 461427944592353. The next prime is 461427944592401. The reversal of 461427944592384 is 483295449724164.

461427944592384 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 2 + 7 + 94 + 459 + 2 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 422166462942 + ... + 422166464034.

It is an arithmetic number, because the mean of its divisors is an integer number (532085716800).

Almost surely, 2^{461427944592384} is an apocalyptic number.

461427944592384 is a gapful number since it is divisible by the number (44) 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 461427944592384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936470861568000).

461427944592384 is an abundant number, since it is smaller than the sum of its proper divisors (1411513778543616).

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

461427944592384 is a wasteful number, since it uses less digits than its factorization.

461427944592384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1206 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 461427944592384 in words is "four hundred sixty-one trillion, four hundred twenty-seven billion, nine hundred forty-four million, five hundred ninety-two thousand, three hundred eighty-four".