461810804044800 has 1056 divisors, whose sum is σ = 1856638836080640. Its totient is φ = 98827016601600.

The previous prime is 461810804044699. The next prime is 461810804044823. The reversal of 461810804044800 is 8440408018164.

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

It is a self number, because there is not a number n which added to its sum of digits gives 461810804044800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1745454921 + ... + 1745719479.

Almost surely, 2^{461810804044800} is an apocalyptic number.

461810804044800 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 461810804044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928319418040320).

461810804044800 is an abundant number, since it is smaller than the sum of its proper divisors (1394828032035840).

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

461810804044800 is a wasteful number, since it uses less digits than its factorization.

461810804044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264807 (or 264784 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 461810804044800 in words is "four hundred sixty-one trillion, eight hundred ten billion, eight hundred four million, forty-four thousand, eight hundred".