14342630400 has 396 divisors, whose sum is σ = 58696202032. Its totient is φ = 3277946880.

The previous prime is 14342630389. The next prime is 14342630413. The reversal of 14342630400 is 403624341.

14342630400 is a `hidden beast` number, since 14 + 342 + 6 + 304 + 0 + 0 = 666.

It is a super-2 number, since 2×14342630400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1608354 + ... + 1617246.

Almost surely, 2^14342630400 is an apocalyptic number.

14342630400 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 14342630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29348101016).

14342630400 is an abundant number, since it is smaller than the sum of its proper divisors (44353571632).

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

14342630400 is a wasteful number, since it uses less digits than its factorization.

14342630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8936 (or 8910 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 14342630400 in words is "fourteen billion, three hundred forty-two million, six hundred thirty thousand, four hundred".