461617753071420 has 240 divisors, whose sum is σ = 1579826489095008. Its totient is φ = 111902520176640.

The previous prime is 461617753071361. The next prime is 461617753071421. The reversal of 461617753071420 is 24170357716164.

461617753071420 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 1 + 77 + 530 + 7 + 14 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461617753071421) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 422733172 + ... + 423823748.

Almost surely, 2^{461617753071420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461617753071420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789913244547504).

461617753071420 is an abundant number, since it is smaller than the sum of its proper divisors (1118208736023588).

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

461617753071420 is a wasteful number, since it uses less digits than its factorization.

461617753071420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114362 (or 1114351 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 461617753071420 in words is "four hundred sixty-one trillion, six hundred seventeen billion, seven hundred fifty-three million, seventy-one thousand, four hundred twenty".