461366415360 has 312 divisors, whose sum is σ = 1636427336544. Its totient is φ = 120167792640.

The previous prime is 461366415343. The next prime is 461366415361. The reversal of 461366415360 is 63514663164.

461366415360 is a `hidden beast` number, since 4 + 6 + 13 + 66 + 41 + 536 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461366415361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7896655 + ... + 7954865.

It is an arithmetic number, because the mean of its divisors is an integer number (5244959412).

Almost surely, 2^461366415360 is an apocalyptic number.

461366415360 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 461366415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818213668272).

461366415360 is an abundant number, since it is smaller than the sum of its proper divisors (1175060921184).

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

461366415360 is a wasteful number, since it uses less digits than its factorization.

461366415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58289 (or 58264 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 461366415360 in words is "four hundred sixty-one billion, three hundred sixty-six million, four hundred fifteen thousand, three hundred sixty".