84227942400 has 1296 divisors, whose sum is σ = 352878664320. Its totient is φ = 17650483200.

The previous prime is 84227942377. The next prime is 84227942411. The reversal of 84227942400 is 424972248.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2717030385 + ... + 2717030415.

It is an arithmetic number, because the mean of its divisors is an integer number (272282920).

Almost surely, 2^84227942400 is an apocalyptic number.

84227942400 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 84227942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176439332160).

84227942400 is an abundant number, since it is smaller than the sum of its proper divisors (268650721920).

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

84227942400 is a wasteful number, since it uses less digits than its factorization.

84227942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 84227942400 in words is "eighty-four billion, two hundred twenty-seven million, nine hundred forty-two thousand, four hundred".