461713367373440 has 512 divisors, whose sum is σ = 1387633261271040. Its totient is φ = 142992324034560.

The previous prime is 461713367373437. The next prime is 461713367373473. The reversal of 461713367373440 is 44373763317164.

It is a super-2 number, since 2×461713367373440² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 461713367373440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25295195354 + ... + 25295213606.

It is an arithmetic number, because the mean of its divisors is an integer number (2710221213420).

Almost surely, 2^{461713367373440} is an apocalyptic number.

461713367373440 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 461713367373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693816630635520).

461713367373440 is an abundant number, since it is smaller than the sum of its proper divisors (925919893897600).

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

461713367373440 is a wasteful number, since it uses less digits than its factorization.

461713367373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27580 (or 27568 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 59.

The spelling of 461713367373440 in words is "four hundred sixty-one trillion, seven hundred thirteen billion, three hundred sixty-seven million, three hundred seventy-three thousand, four hundred forty".