13861238400 has 480 divisors, whose sum is σ = 52167782700. Its totient is φ = 3622993920.

The previous prime is 13861238389. The next prime is 13861238407. The reversal of 13861238400 is 483216831.

13861238400 is a `hidden beast` number, since 1 + 3 + 8 + 612 + 38 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5194373184 + 8666865216 = 72072^2 + 93096^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (13861238407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13737096 + ... + 13738104.

Almost surely, 2^13861238400 is an apocalyptic number.

13861238400 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 13861238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26083891350).

13861238400 is an abundant number, since it is smaller than the sum of its proper divisors (38306544300).

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

13861238400 is a wasteful number, since it uses less digits than its factorization.

13861238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13861238400 in words is "thirteen billion, eight hundred sixty-one million, two hundred thirty-eight thousand, four hundred".