461710566240 has 192 divisors, whose sum is σ = 1813263459840. Its totient is φ = 95939850240.

The previous prime is 461710566217. The next prime is 461710566287. The reversal of 461710566240 is 42665017164.

It is a super-2 number, since 2×461710566240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 461710566192 and 461710566201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6209125 + ... + 6283044.

It is an arithmetic number, because the mean of its divisors is an integer number (9444080520).

Almost surely, 2^461710566240 is an apocalyptic number.

461710566240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461710566240 is an abundant number, since it is smaller than the sum of its proper divisors (1351552893600).

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

461710566240 is a wasteful number, since it uses less digits than its factorization.

461710566240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492205 (or 12492197 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 461710566240 in words is "four hundred sixty-one billion, seven hundred ten million, five hundred sixty-six thousand, two hundred forty".