14940086400 has 288 divisors, whose sum is σ = 53475617520. Its totient is φ = 3971635200.

The previous prime is 14940086303. The next prime is 14940086407. The reversal of 14940086400 is 468004941.

It is a happy number.

14940086400 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 0 + 0 + 8 + 640 + 0 = 666.

14940086400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (14940086407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12757815 + ... + 12758985.

Almost surely, 2^14940086400 is an apocalyptic number.

14940086400 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 14940086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26737808760).

14940086400 is an abundant number, since it is smaller than the sum of its proper divisors (38535531120).

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

14940086400 is a wasteful number, since it uses less digits than its factorization.

14940086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14940086400 in words is "fourteen billion, nine hundred forty million, eighty-six thousand, four hundred".