10404000000 has 567 divisors, whose sum is σ = 39831540931. Its totient is φ = 2611200000.

The previous prime is 10403999989. The next prime is 10404000049. The reversal of 10404000000 is 40401.

The square root of 10404000000 is 102000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 10228490496 + 175509504 = 101136^2 + 13248^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 611999992 + ... + 612000008.

Almost surely, 2^10404000000 is an apocalyptic number.

10404000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10404000000 is the 102000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404000000

10404000000 is an abundant number, since it is smaller than the sum of its proper divisors (29427540931).

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

10404000000 is an frugal number, since it uses more digits than its factorization.

10404000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Multiplying 10404000000 by its product of nonzero digits (16), we get a square (166464000000 = 408000²).

10404000000 divided by its product of nonzero digits (16) gives a square (650250000 = 25500²).

Adding to 10404000000 its reverse (40401), we get a palindrome (10404040401).

Multiplying 10404000000 by its reverse (40401), we get a square (420332004000000 = 20502000²).

The spelling of 10404000000 in words is "ten billion, four hundred four million", and thus it is an aban number.