13960343852400 has 960 divisors, whose sum is σ = 54620984033280. Its totient is φ = 3003866726400.

The previous prime is 13960343852369. The next prime is 13960343852473. The reversal of 13960343852400 is 425834306931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13960343852400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 950775459 + ... + 950790141.

It is an arithmetic number, because the mean of its divisors is an integer number (56896858368).

Almost surely, 2^{13960343852400} is an apocalyptic number.

13960343852400 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 13960343852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310492016640).

13960343852400 is an abundant number, since it is smaller than the sum of its proper divisors (40660640180880).

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

13960343852400 is a wasteful number, since it uses less digits than its factorization.

13960343852400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14974 (or 14963 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 13960343852400 in words is "thirteen trillion, nine hundred sixty billion, three hundred forty-three million, eight hundred fifty-two thousand, four hundred".