10000408898304 has 432 divisors, whose sum is σ = 32762124165120. Its totient is φ = 3006533376000.

The previous prime is 10000408898267. The next prime is 10000408898377. The reversal of 10000408898304 is 40389880400001.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 10000408898304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106169629 + ... + 106263779.

Almost surely, 2^{10000408898304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000408898304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381062082560).

10000408898304 is an abundant number, since it is smaller than the sum of its proper divisors (22761715266816).

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

10000408898304 is a wasteful number, since it uses less digits than its factorization.

10000408898304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94325 (or 94294 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10000408898304 in words is "ten trillion, four hundred eight million, eight hundred ninety-eight thousand, three hundred four".