461633397120 has 384 divisors, whose sum is σ = 1828424370240. Its totient is φ = 105132736512.

The previous prime is 461633397107. The next prime is 461633397161. The reversal of 461633397120 is 21793336164.

461633397120 is a `hidden beast` number, since 4 + 6 + 1 + 633 + 3 + 9 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×461633397120³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11147974 + ... + 11189306.

Almost surely, 2^461633397120 is an apocalyptic number.

461633397120 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 461633397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914212185120).

461633397120 is an abundant number, since it is smaller than the sum of its proper divisors (1366790973120).

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

461633397120 is a wasteful number, since it uses less digits than its factorization.

461633397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41642 (or 41627 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 461633397120 in words is "four hundred sixty-one billion, six hundred thirty-three million, three hundred ninety-seven thousand, one hundred twenty".