1605407998460 has 288 divisors, whose sum is σ = 4026250343808. Its totient is φ = 536004618240.

The previous prime is 1605407998451. The next prime is 1605407998487. The reversal of 1605407998460 is 648997045061.

It is a self number, because there is not a number n which added to its sum of digits gives 1605407998460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2371355642 + ... + 2371356318.

It is an arithmetic number, because the mean of its divisors is an integer number (13980035916).

Almost surely, 2^{1605407998460} is an apocalyptic number.

1605407998460 is a gapful number since it is divisible by the number (10) 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 1605407998460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013125171904).

1605407998460 is an abundant number, since it is smaller than the sum of its proper divisors (2420842345348).

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

1605407998460 is a wasteful number, since it uses less digits than its factorization.

1605407998460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 1605407998460 in words is "one trillion, six hundred five billion, four hundred seven million, nine hundred ninety-eight thousand, four hundred sixty".