409953545280 has 140 divisors (see below), whose sum is σ = 1458276974220. Its totient is φ = 109320938496.

The previous prime is 409953545233. The next prime is 409953545357. The reversal of 409953545280 is 82545359904.

409953545280 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 5 + 354 + 5 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68233798656 + 341719746624 = 261216^2 + 584568^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7882135 + ... + 7933974.

Almost surely, 2^409953545280 is an apocalyptic number.

409953545280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409953545280 is an abundant number, since it is smaller than the sum of its proper divisors (1048323428940).

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

409953545280 is a wasteful number, since it uses less digits than its factorization.

409953545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15816138 (or 15816119 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 409953545280 in words is "four hundred nine billion, nine hundred fifty-three million, five hundred forty-five thousand, two hundred eighty".