10490558400 has 672 divisors, whose sum is σ = 44235502080. Its totient is φ = 2368880640.

The previous prime is 10490558363. The next prime is 10490558417. The reversal of 10490558400 is 485509401.

10490558400 is a `hidden beast` number, since 10 + 4 + 90 + 558 + 4 + 0 + 0 = 666.

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

It is a super-2 number, since 2×10490558400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 34171047 + ... + 34171353.

It is an arithmetic number, because the mean of its divisors is an integer number (65826640).

Almost surely, 2^10490558400 is an apocalyptic number.

10490558400 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 10490558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22117751040).

10490558400 is an abundant number, since it is smaller than the sum of its proper divisors (33744943680).

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

10490558400 is a wasteful number, since it uses less digits than its factorization.

10490558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10490558400 in words is "ten billion, four hundred ninety million, five hundred fifty-eight thousand, four hundred".