8414146400 has 108 divisors (see below), whose sum is σ = 22578422076. Its totient is φ = 3059654400.

The previous prime is 8414146343. The next prime is 8414146423. The reversal of 8414146400 is 46414148.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53339 + ... + 140261.

Almost surely, 2^8414146400 is an apocalyptic number.

8414146400 is a gapful number since it is divisible by the number (80) 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 8414146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289211038).

8414146400 is an abundant number, since it is smaller than the sum of its proper divisors (14164275676).

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

8414146400 is a wasteful number, since it uses less digits than its factorization.

8414146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86965 (or 86941 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 8414146400 is about 91728.6563730223. The cubic root of 8414146400 is about 2033.9332124759.

The spelling of 8414146400 in words is "eight billion, four hundred fourteen million, one hundred forty-six thousand, four hundred".