13702141440 has 1200 divisors, whose sum is σ = 58714733088. Its totient is φ = 3036413952.

The previous prime is 13702141433. The next prime is 13702141471. The reversal of 13702141440 is 4414120731.

13702141440 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 214 + 1 + 440 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 595745269 + ... + 595745291.

Almost surely, 2^13702141440 is an apocalyptic number.

13702141440 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 13702141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29357366544).

13702141440 is an abundant number, since it is smaller than the sum of its proper divisors (45012591648).

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

13702141440 is a wasteful number, since it uses less digits than its factorization.

13702141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 13702141440 in words is "thirteen billion, seven hundred two million, one hundred forty-one thousand, four hundred forty".