460421055541440 has 2016 divisors, whose sum is σ = 2042180638617600. Its totient is φ = 96482249072640.

The previous prime is 460421055541367. The next prime is 460421055541529. The reversal of 460421055541440 is 44145550124064.

460421055541440 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 2 + 10 + 55 + 541 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8656294366 + ... + 8656347554.

Almost surely, 2^{460421055541440} is an apocalyptic number.

460421055541440 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 460421055541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021090319308800).

460421055541440 is an abundant number, since it is smaller than the sum of its proper divisors (1581759583076160).

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

460421055541440 is an equidigital number, since it uses as much as digits as its factorization.

460421055541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53287 (or 53256 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 460421055541440 in words is "four hundred sixty trillion, four hundred twenty-one billion, fifty-five million, five hundred forty-one thousand, four hundred forty".