14142630240 has 384 divisors, whose sum is σ = 53103859200. Its totient is φ = 3504384000.

The previous prime is 14142630193. The next prime is 14142630247. The reversal of 14142630240 is 4203624141.

It is a happy number.

14142630240 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 2 + 630 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142630247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4348615 + ... + 4351865.

It is an arithmetic number, because the mean of its divisors is an integer number (138291300).

Almost surely, 2^14142630240 is an apocalyptic number.

14142630240 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 14142630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26551929600).

14142630240 is an abundant number, since it is smaller than the sum of its proper divisors (38961228960).

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

14142630240 is a wasteful number, since it uses less digits than its factorization.

14142630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 14142630240 in words is "fourteen billion, one hundred forty-two million, six hundred thirty thousand, two hundred forty".