13862121840 has 640 divisors, whose sum is σ = 58315315200. Its totient is φ = 2956124160.

The previous prime is 13862121787. The next prime is 13862121877. The reversal of 13862121840 is 4812126831.

13862121840 is a `hidden beast` number, since 1 + 3 + 8 + 621 + 21 + 8 + 4 + 0 = 666.

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 = 13862121795 and 13862121804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20971110 + ... + 20971770.

It is an arithmetic number, because the mean of its divisors is an integer number (91117680).

Almost surely, 2^13862121840 is an apocalyptic number.

13862121840 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 13862121840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29157657600).

13862121840 is an abundant number, since it is smaller than the sum of its proper divisors (44453193360).

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

13862121840 is a wasteful number, since it uses less digits than its factorization.

13862121840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 138621 and 21840, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 13862121840 in words is "thirteen billion, eight hundred sixty-two million, one hundred twenty-one thousand, eight hundred forty".