14135523840 has 480 divisors, whose sum is σ = 52477641216. Its totient is φ = 3642900480.

The previous prime is 14135523821. The next prime is 14135523893. The reversal of 14135523840 is 4832553141.

14135523840 is a `hidden beast` number, since 1 + 413 + 5 + 5 + 238 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 14135523795 and 14135523804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19284114 + ... + 19284846.

Almost surely, 2^14135523840 is an apocalyptic number.

14135523840 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 14135523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26238820608).

14135523840 is an abundant number, since it is smaller than the sum of its proper divisors (38342117376).

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

14135523840 is an frugal number, since it uses more digits than its factorization.

14135523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14135523840 in words is "fourteen billion, one hundred thirty-five million, five hundred twenty-three thousand, eight hundred forty".