14290613120 has 256 divisors, whose sum is σ = 41258004480. Its totient is φ = 4629381120.

The previous prime is 14290613101. The next prime is 14290613131. The reversal of 14290613120 is 2131609241.

It is a super-2 number, since 2×14290613120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5970644 + ... + 5973036.

It is an arithmetic number, because the mean of its divisors is an integer number (161164080).

Almost surely, 2^14290613120 is an apocalyptic number.

14290613120 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 14290613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629002240).

14290613120 is an abundant number, since it is smaller than the sum of its proper divisors (26967391360).

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

14290613120 is a wasteful number, since it uses less digits than its factorization.

14290613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 14290613120 in words is "fourteen billion, two hundred ninety million, six hundred thirteen thousand, one hundred twenty".