461040037920 has 1920 divisors, whose sum is σ = 2162404823040. Its totient is φ = 89669099520.

The previous prime is 461040037879. The next prime is 461040037963. The reversal of 461040037920 is 29730040164.

461040037920 is a `hidden beast` number, since 4 + 610 + 4 + 0 + 0 + 37 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1216464291 + ... + 1216464669.

It is an arithmetic number, because the mean of its divisors is an integer number (1126252512).

Almost surely, 2^461040037920 is an apocalyptic number.

461040037920 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 461040037920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081202411520).

461040037920 is an abundant number, since it is smaller than the sum of its proper divisors (1701364785120).

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

461040037920 is a wasteful number, since it uses less digits than its factorization.

461040037920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 461040037920 in words is "four hundred sixty-one billion, forty million, thirty-seven thousand, nine hundred twenty".