461396960640 has 1024 divisors, whose sum is σ = 2144683008000. Its totient is φ = 90823680000.

The previous prime is 461396960627. The next prime is 461396960669. The reversal of 461396960640 is 46069693164.

461396960640 is a `hidden beast` number, since 461 + 3 + 9 + 69 + 60 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25271515 + ... + 25289765.

It is an arithmetic number, because the mean of its divisors is an integer number (2094417000).

Almost surely, 2^461396960640 is an apocalyptic number.

461396960640 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 461396960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072341504000).

461396960640 is an abundant number, since it is smaller than the sum of its proper divisors (1683286047360).

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

461396960640 is a wasteful number, since it uses less digits than its factorization.

461396960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18316 (or 18298 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 461396960640 in words is "four hundred sixty-one billion, three hundred ninety-six million, nine hundred sixty thousand, six hundred forty".