461476583040 has 256 divisors, whose sum is σ = 1609829769600. Its totient is φ = 111514091520.

The previous prime is 461476583023. The next prime is 461476583063. The reversal of 461476583040 is 40385674164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6575656 + ... + 6645464.

Almost surely, 2^461476583040 is an apocalyptic number.

461476583040 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 461476583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804914884800).

461476583040 is an abundant number, since it is smaller than the sum of its proper divisors (1148353186560).

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

461476583040 is a wasteful number, since it uses less digits than its factorization.

461476583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70155 (or 70143 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 461476583040 in words is "four hundred sixty-one billion, four hundred seventy-six million, five hundred eighty-three thousand, forty".