14274129240 has 288 divisors, whose sum is σ = 56806542000. Its totient is φ = 3090866688.

The previous prime is 14274129197. The next prime is 14274129301. The reversal of 14274129240 is 4292147241.

It is a happy number.

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 = 14274129195 and 14274129204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 313866 + ... + 356454.

Almost surely, 2^14274129240 is an apocalyptic number.

14274129240 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 14274129240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28403271000).

14274129240 is an abundant number, since it is smaller than the sum of its proper divisors (42532412760).

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

14274129240 is a wasteful number, since it uses less digits than its factorization.

14274129240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42639 (or 42625 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14274129240 in words is "fourteen billion, two hundred seventy-four million, one hundred twenty-nine thousand, two hundred forty".