14920400880 has 800 divisors, whose sum is σ = 68447047680. Its totient is φ = 2916311040.

The previous prime is 14920400801. The next prime is 14920400899. The reversal of 14920400880 is 8800402941.

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 159 ways as a sum of consecutive naturals, for example, 8481441 + ... + 8483199.

Almost surely, 2^14920400880 is an apocalyptic number.

14920400880 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 14920400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34223523840).

14920400880 is an abundant number, since it is smaller than the sum of its proper divisors (53526646800).

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

14920400880 is a wasteful number, since it uses less digits than its factorization.

14920400880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14920400880 in words is "fourteen billion, nine hundred twenty million, four hundred thousand, eight hundred eighty".