13961498772240 has 640 divisors, whose sum is σ = 49244848128000. Its totient is φ = 3634849161216.

The previous prime is 13961498772239. The next prime is 13961498772251. The reversal of 13961498772240 is 4227789416931.

13961498772240 is a `hidden beast` number, since 1 + 3 + 9 + 614 + 9 + 8 + 7 + 7 + 2 + 2 + 4 + 0 = 666.

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, 16177866049 + ... + 16177866911.

It is an arithmetic number, because the mean of its divisors is an integer number (76945075200).

Almost surely, 2^{13961498772240} is an apocalyptic number.

13961498772240 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 13961498772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622424064000).

13961498772240 is an abundant number, since it is smaller than the sum of its proper divisors (35283349355760).

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

13961498772240 is a wasteful number, since it uses less digits than its factorization.

13961498772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 13961498772240 in words is "thirteen trillion, nine hundred sixty-one billion, four hundred ninety-eight million, seven hundred seventy-two thousand, two hundred forty".