84408480400 has 120 divisors (see below), whose sum is σ = 213772220480. Its totient is φ = 31940282880.

The previous prime is 84408480391. The next prime is 84408480407. The reversal of 84408480400 is 408480448.

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 (84408480407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5517562 + ... + 5532838.

Almost surely, 2^84408480400 is an apocalyptic number.

84408480400 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 84408480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106886110240).

84408480400 is an abundant number, since it is smaller than the sum of its proper divisors (129363740080).

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

84408480400 is a wasteful number, since it uses less digits than its factorization.

84408480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16041 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 84408480400 in words is "eighty-four billion, four hundred eight million, four hundred eighty thousand, four hundred".