13894778984940 has 432 divisors, whose sum is σ = 49351474972800. Its totient is φ = 3155091416064.

The previous prime is 13894778984927. The next prime is 13894778984951. The reversal of 13894778984940 is 4948987749831.

13894778984940 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 47 + 7 + 89 + 8 + 494 + 0 = 666.

13894778984940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13894778984940.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1231910221 + ... + 1231921499.

It is an arithmetic number, because the mean of its divisors is an integer number (114239525400).

Almost surely, 2^{13894778984940} is an apocalyptic number.

13894778984940 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 13894778984940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675737486400).

13894778984940 is an abundant number, since it is smaller than the sum of its proper divisors (35456695987860).

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

13894778984940 is a wasteful number, since it uses less digits than its factorization.

13894778984940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12214 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 13894778984940 in words is "thirteen trillion, eight hundred ninety-four billion, seven hundred seventy-eight million, nine hundred eighty-four thousand, nine hundred forty".