461122442156040 has 512 divisors, whose sum is σ = 1650754320675840. Its totient is φ = 100844244172800.

The previous prime is 461122442156039. The next prime is 461122442156093. The reversal of 461122442156040 is 40651244221164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 461122442155983 and 461122442156001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8101066780 + ... + 8101123700.

It is an arithmetic number, because the mean of its divisors is an integer number (3224129532570).

Almost surely, 2^{461122442156040} is an apocalyptic number.

461122442156040 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 461122442156040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825377160337920).

461122442156040 is an abundant number, since it is smaller than the sum of its proper divisors (1189631878519800).

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

461122442156040 is a wasteful number, since it uses less digits than its factorization.

461122442156040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61313 (or 61309 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 461122442156040 in words is "four hundred sixty-one trillion, one hundred twenty-two billion, four hundred forty-two million, one hundred fifty-six thousand, forty".