110413663430400 has 648 divisors, whose sum is σ = 444532179786240. Its totient is φ = 25903494144000.

The previous prime is 110413663430353. The next prime is 110413663430417. The reversal of 110413663430400 is 4034366314011.

110413663430400 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 13 + 6 + 634 + 3 + 0 + 4 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 16830891 + ... + 22452309.

Almost surely, 2^{110413663430400} is an apocalyptic number.

110413663430400 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 110413663430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222266089893120).

110413663430400 is an abundant number, since it is smaller than the sum of its proper divisors (334118516355840).

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

110413663430400 is a wasteful number, since it uses less digits than its factorization.

110413663430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621493 (or 5621471 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 110413663430400 in words is "one hundred ten trillion, four hundred thirteen billion, six hundred sixty-three million, four hundred thirty thousand, four hundred".