13738982400 has 1056 divisors, whose sum is σ = 59700345600. Its totient is φ = 3052339200.

The previous prime is 13738982393. The next prime is 13738982443. The reversal of 13738982400 is 428983731.

13738982400 is a `hidden beast` number, since 137 + 38 + 9 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98841531 + ... + 98841669.

Almost surely, 2^13738982400 is an apocalyptic number.

13738982400 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 13738982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29850172800).

13738982400 is an abundant number, since it is smaller than the sum of its proper divisors (45961363200).

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

13738982400 is a wasteful number, since it uses less digits than its factorization.

13738982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13738982400 in words is "thirteen billion, seven hundred thirty-eight million, nine hundred eighty-two thousand, four hundred".