461126607955200 has 864 divisors, whose sum is σ = 1953130242913920. Its totient is φ = 105212480716800.

The previous prime is 461126607955159. The next prime is 461126607955259. The reversal of 461126607955200 is 2559706621164.

461126607955200 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 2 + 6 + 607 + 9 + 5 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25178422 + ... + 39448778.

It is an arithmetic number, because the mean of its divisors is an integer number (2260567410780).

Almost surely, 2^{461126607955200} is an apocalyptic number.

461126607955200 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 461126607955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976565121456960).

461126607955200 is an abundant number, since it is smaller than the sum of its proper divisors (1492003634958720).

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

461126607955200 is a wasteful number, since it uses less digits than its factorization.

461126607955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14270420 (or 14270395 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 461126607955200 in words is "four hundred sixty-one trillion, one hundred twenty-six billion, six hundred seven million, nine hundred fifty-five thousand, two hundred".