13985228400 has 720 divisors, whose sum is σ = 54969815040. Its totient is φ = 3015936000.

The previous prime is 13985228399. The next prime is 13985228419. The reversal of 13985228400 is 482258931.

It is a super-2 number, since 2×13985228400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58515481 + ... + 58515719.

Almost surely, 2^13985228400 is an apocalyptic number.

13985228400 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 13985228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27484907520).

13985228400 is an abundant number, since it is smaller than the sum of its proper divisors (40984586640).

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

13985228400 is a wasteful number, since it uses less digits than its factorization.

13985228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 13985228400 in words is "thirteen billion, nine hundred eighty-five million, two hundred twenty-eight thousand, four hundred".