14390641440 has 1440 divisors, whose sum is σ = 66073480704. Its totient is φ = 2926264320.

The previous prime is 14390641429. The next prime is 14390641453. The reversal of 14390641440 is 4414609341.

It is a happy number.

14390641440 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 0 + 641 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×14390641440² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 14390641395 and 14390641404.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 334666059 + ... + 334666101.

Almost surely, 2^14390641440 is an apocalyptic number.

14390641440 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 14390641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33036740352).

14390641440 is an abundant number, since it is smaller than the sum of its proper divisors (51682839264).

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

14390641440 is a wasteful number, since it uses less digits than its factorization.

14390641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14390641440 in words is "fourteen billion, three hundred ninety million, six hundred forty-one thousand, four hundred forty".