461457541301440 has 112 divisors (see below), whose sum is σ = 1104779371132800. Its totient is φ = 183586899750912.

The previous prime is 461457541301411. The next prime is 461457541301447. The reversal of 461457541301440 is 44103145754164.

It is not an unprimeable number, because it can be changed into a prime (461457541301447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194814121 + ... + 197168599.

Almost surely, 2^{461457541301440} is an apocalyptic number.

461457541301440 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 461457541301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552389685566400).

461457541301440 is an abundant number, since it is smaller than the sum of its proper divisors (643321829831360).

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

461457541301440 is a wasteful number, since it uses less digits than its factorization.

461457541301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357802 (or 2357792 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 461457541301440 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, five hundred forty-one million, three hundred one thousand, four hundred forty".