10400449314816 has 360 divisors, whose sum is σ = 32814720285984. Its totient is φ = 3147945738240.

The previous prime is 10400449314779. The next prime is 10400449314823. The reversal of 10400449314816 is 61841394400401.

10400449314816 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 4 + 493 + 148 + 16 = 666.

It is a super-2 number, since 2×10400449314816² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584706351 + ... + 1584712913.

Almost surely, 2^{10400449314816} is an apocalyptic number.

10400449314816 is a gapful number since it is divisible by the number (16) 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 10400449314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16407360142992).

10400449314816 is an abundant number, since it is smaller than the sum of its proper divisors (22414270971168).

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

10400449314816 is an equidigital number, since it uses as much as digits as its factorization.

10400449314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585 (or 7556 counting only the distinct ones).

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

The spelling of 10400449314816 in words is "ten trillion, four hundred billion, four hundred forty-nine million, three hundred fourteen thousand, eight hundred sixteen".