13900407016320 has 768 divisors, whose sum is σ = 58361842656000. Its totient is φ = 3004643082240.

The previous prime is 13900407016313. The next prime is 13900407016333. The reversal of 13900407016320 is 2361070400931.

13900407016320 is a `hidden beast` number, since 1 + 3 + 90 + 0 + 407 + 0 + 163 + 2 + 0 = 666.

It is a super-3 number, since 3×13900407016320³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20125671 + ... + 20804889.

It is an arithmetic number, because the mean of its divisors is an integer number (75991982625).

Almost surely, 2^{13900407016320} is an apocalyptic number.

13900407016320 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 13900407016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29180921328000).

13900407016320 is an abundant number, since it is smaller than the sum of its proper divisors (44461435639680).

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

13900407016320 is a wasteful number, since it uses less digits than its factorization.

13900407016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679291 (or 679276 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13900407016320 in words is "thirteen trillion, nine hundred billion, four hundred seven million, sixteen thousand, three hundred twenty".