10404824640 has 672 divisors, whose sum is σ = 41029493760. Its totient is φ = 2222567424.

The previous prime is 10404824627. The next prime is 10404824701. The reversal of 10404824640 is 4642840401.

10404824640 is a nontrivial binomial coefficient, being equal to C(144256, 2).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10404824640² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63833199 + ... + 63833361.

Almost surely, 2^10404824640 is an apocalyptic number.

10404824640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10404824640 is the 144255-th triangular number and also the 72128-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20514746880).

10404824640 is an abundant number, since it is smaller than the sum of its proper divisors (30624669120).

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

10404824640 is a wasteful number, since it uses less digits than its factorization.

10404824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 10404824640 in words is "ten billion, four hundred four million, eight hundred twenty-four thousand, six hundred forty".