13914935384940 has 384 divisors, whose sum is σ = 46555496064000. Its totient is φ = 3483078485760.

The previous prime is 13914935384863. The next prime is 13914935384947. The reversal of 13914935384940 is 4948353941931.

It is a happy number.

13914935384940 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 4 + 9 + 3 + 538 + 4 + 94 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (13914935384947) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90508735 + ... + 90662345.

It is an arithmetic number, because the mean of its divisors is an integer number (121238271000).

Almost surely, 2^{13914935384940} is an apocalyptic number.

13914935384940 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 13914935384940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23277748032000).

13914935384940 is an abundant number, since it is smaller than the sum of its proper divisors (32640560679060).

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

13914935384940 is a wasteful number, since it uses less digits than its factorization.

13914935384940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153769 (or 153749 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 13914935384940 in words is "thirteen trillion, nine hundred fourteen billion, nine hundred thirty-five million, three hundred eighty-four thousand, nine hundred forty".