461037096000 has 896 divisors, whose sum is σ = 1845007557120. Its totient is φ = 113430067200.

The previous prime is 461037095993. The next prime is 461037096007. The reversal of 461037096000 is 690730164.

461037096000 is a `hidden beast` number, since 4 + 6 + 10 + 37 + 0 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461037095993) and next prime (461037096007).

It is a super-2 number, since 2×461037096000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (461037096007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227446987 + ... + 227449013.

It is an arithmetic number, because the mean of its divisors is an integer number (2059160220).

Almost surely, 2^461037096000 is an apocalyptic number.

461037096000 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 461037096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922503778560).

461037096000 is an abundant number, since it is smaller than the sum of its proper divisors (1383970461120).

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

461037096000 is an equidigital number, since it uses as much as digits as its factorization.

461037096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 461037096000 in words is "four hundred sixty-one billion, thirty-seven million, ninety-six thousand".