10408293680400 has 1440 divisors, whose sum is σ = 45501803912448. Its totient is φ = 2140353331200.

The previous prime is 10408293680399. The next prime is 10408293680413. The reversal of 10408293680400 is 408639280401.

It is a happy number.

10408293680400 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 82 + 93 + 6 + 80 + 400 = 666.

10408293680400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13749396822 + ... + 13749397578.

Almost surely, 2^{10408293680400} is an apocalyptic number.

10408293680400 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 10408293680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22750901956224).

10408293680400 is an abundant number, since it is smaller than the sum of its proper divisors (35093510232048).

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

10408293680400 is a wasteful number, since it uses less digits than its factorization.

10408293680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10408293680400 in words is "ten trillion, four hundred eight billion, two hundred ninety-three million, six hundred eighty thousand, four hundred".