10408903790400 has 672 divisors, whose sum is σ = 39971598796800. Its totient is φ = 2627628595200.

The previous prime is 10408903790393. The next prime is 10408903790431. The reversal of 10408903790400 is 409730980401.

10408903790400 is a `hidden beast` number, since 1 + 0 + 40 + 8 + 90 + 37 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1299322395 + ... + 1299330405.

Almost surely, 2^{10408903790400} is an apocalyptic number.

10408903790400 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 10408903790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19985799398400).

10408903790400 is an abundant number, since it is smaller than the sum of its proper divisors (29562695006400).

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

10408903790400 is a wasteful number, since it uses less digits than its factorization.

10408903790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9623 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10408903790400 in words is "ten trillion, four hundred eight billion, nine hundred three million, seven hundred ninety thousand, four hundred".