13404492288 has 360 divisors, whose sum is σ = 44042298300. Its totient is φ = 3917168640.

The previous prime is 13404492271. The next prime is 13404492319. The reversal of 13404492288 is 88229440431.

13404492288 is a `hidden beast` number, since 13 + 404 + 4 + 9 + 228 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13370759424 + 33732864 = 115632^2 + 5808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16169058 + ... + 16169886.

Almost surely, 2^13404492288 is an apocalyptic number.

13404492288 is a gapful number since it is divisible by the number (18) 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 13404492288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22021149150).

13404492288 is an abundant number, since it is smaller than the sum of its proper divisors (30637806012).

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

13404492288 is a wasteful number, since it uses less digits than its factorization.

13404492288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13404492288 in words is "thirteen billion, four hundred four million, four hundred ninety-two thousand, two hundred eighty-eight".