14780342400 has 96 divisors (see below), whose sum is σ = 48682784400. Its totient is φ = 3941422080.

The previous prime is 14780342393. The next prime is 14780342413. The reversal of 14780342400 is 424308741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14780342400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 760210 + ... + 779409.

Almost surely, 2^14780342400 is an apocalyptic number.

14780342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14780342400 is an abundant number, since it is smaller than the sum of its proper divisors (33902442000).

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

14780342400 is a wasteful number, since it uses less digits than its factorization.

14780342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539646 (or 1539629 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 14780342400 in words is "fourteen billion, seven hundred eighty million, three hundred forty-two thousand, four hundred".