13985274240 has 768 divisors, whose sum is σ = 58605120000. Its totient is φ = 3142250496.

The previous prime is 13985274239. The next prime is 13985274253. The reversal of 13985274240 is 4247258931.

13985274240 is a `hidden beast` number, since 13 + 98 + 527 + 4 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70277661 + ... + 70277859.

It is an arithmetic number, because the mean of its divisors is an integer number (76308750).

Almost surely, 2^13985274240 is an apocalyptic number.

13985274240 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 13985274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560000).

13985274240 is an abundant number, since it is smaller than the sum of its proper divisors (44619845760).

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

13985274240 is a wasteful number, since it uses less digits than its factorization.

13985274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13985274240 in words is "thirteen billion, nine hundred eighty-five million, two hundred seventy-four thousand, two hundred forty".