13903016400 has 1080 divisors, whose sum is σ = 62998301184. Its totient is φ = 2762035200.

The previous prime is 13903016341. The next prime is 13903016423. The reversal of 13903016400 is 461030931.

13903016400 is a `hidden beast` number, since 13 + 9 + 0 + 3 + 0 + 1 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 375757182 + ... + 375757218.

Almost surely, 2^13903016400 is an apocalyptic number.

13903016400 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 13903016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31499150592).

13903016400 is an abundant number, since it is smaller than the sum of its proper divisors (49095284784).

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

13903016400 is a wasteful number, since it uses less digits than its factorization.

13903016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13903016400 in words is "thirteen billion, nine hundred three million, sixteen thousand, four hundred".