461916716189040 has 1920 divisors, whose sum is σ = 1968101133465600. Its totient is φ = 99072177684480.

The previous prime is 461916716189023. The next prime is 461916716189081. The reversal of 461916716189040 is 40981617619164.

461916716189040 is a `hidden beast` number, since 4 + 6 + 1 + 9 + 1 + 6 + 7 + 1 + 618 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×461916716189040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 74828559394 + ... + 74828565566.

It is an arithmetic number, because the mean of its divisors is an integer number (1025052673680).

Almost surely, 2^{461916716189040} is an apocalyptic number.

461916716189040 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 461916716189040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984050566732800).

461916716189040 is an abundant number, since it is smaller than the sum of its proper divisors (1506184417276560).

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

461916716189040 is a wasteful number, since it uses less digits than its factorization.

461916716189040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 461916716189040 in words is "four hundred sixty-one trillion, nine hundred sixteen billion, seven hundred sixteen million, one hundred eighty-nine thousand, forty".