13880420400 has 240 divisors, whose sum is σ = 55435523328. Its totient is φ = 2884224000.

The previous prime is 13880420363. The next prime is 13880420401. The reversal of 13880420400 is 402408831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13880420401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17290 + ... + 167510.

Almost surely, 2^13880420400 is an apocalyptic number.

13880420400 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 13880420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27717761664).

13880420400 is an abundant number, since it is smaller than the sum of its proper divisors (41555102928).

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

13880420400 is a wasteful number, since it uses less digits than its factorization.

13880420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150260 (or 150249 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 13880420400 in words is "thirteen billion, eight hundred eighty million, four hundred twenty thousand, four hundred".