461024978878464 has 2160 divisors, whose sum is σ = 1717034299896384. Its totient is φ = 108955875409920.

The previous prime is 461024978878439. The next prime is 461024978878481. The reversal of 461024978878464 is 464878879420164.

It is a super-2 number, since 2×461024978878464² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 461024978878464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 276559674559 + ... + 276559676225.

Almost surely, 2^{461024978878464} is an apocalyptic number.

461024978878464 is a gapful number since it is divisible by the number (44) 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 461024978878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858517149948192).

461024978878464 is an abundant number, since it is smaller than the sum of its proper divisors (1256009321017920).

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

461024978878464 is a wasteful number, since it uses less digits than its factorization.

461024978878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 4161798144, while the sum is 78.

The spelling of 461024978878464 in words is "four hundred sixty-one trillion, twenty-four billion, nine hundred seventy-eight million, eight hundred seventy-eight thousand, four hundred sixty-four".