12416378800 has 60 divisors (see below), whose sum is σ = 34091836336. Its totient is φ = 4257043200.

The previous prime is 12416378747. The next prime is 12416378803. The reversal of 12416378800 is 887361421.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12416378803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2214411 + ... + 2220010.

Almost surely, 2^12416378800 is an apocalyptic number.

12416378800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12416378800 is an abundant number, since it is smaller than the sum of its proper divisors (21675457536).

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

12416378800 is a wasteful number, since it uses less digits than its factorization.

12416378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434446 (or 4434435 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 12416378800 in words is "twelve billion, four hundred sixteen million, three hundred seventy-eight thousand, eight hundred".