10404495360 has 600 divisors, whose sum is σ = 43392130650. Its totient is φ = 2378170368.

The previous prime is 10404495341. The next prime is 10404495379. The reversal of 10404495360 is 6359440401.

10404495360 is a `hidden beast` number, since 104 + 0 + 4 + 495 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10404495341) and next prime (10404495379).

It can be written as a sum of positive squares in only one way, i.e., 9364045824 + 1040449536 = 96768^2 + 32256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1486356477 + ... + 1486356483.

Almost surely, 2^10404495360 is an apocalyptic number.

10404495360 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 10404495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21696065325).

10404495360 is an abundant number, since it is smaller than the sum of its proper divisors (32987635290).

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

10404495360 is an frugal number, since it uses more digits than its factorization.

10404495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 10404495360 by its product of nonzero digits (51840), we get a square (539369039462400 = 23224320²).

10404495360 divided by its product of nonzero digits (51840) gives a square (200704 = 448²).

The spelling of 10404495360 in words is "ten billion, four hundred four million, four hundred ninety-five thousand, three hundred sixty".