84419942400 has 216 divisors, whose sum is σ = 302338813140. Its totient is φ = 22511861760.

The previous prime is 84419942381. The next prime is 84419942441. The reversal of 84419942400 is 424991448.

84419942400 is a `hidden beast` number, since 84 + 41 + 99 + 42 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 369199 + ... + 552401.

Almost surely, 2^84419942400 is an apocalyptic number.

84419942400 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 84419942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151169406570).

84419942400 is an abundant number, since it is smaller than the sum of its proper divisors (217918870740).

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

84419942400 is a wasteful number, since it uses less digits than its factorization.

84419942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183241 (or 183213 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 84419942400 in words is "eighty-four billion, four hundred nineteen million, nine hundred forty-two thousand, four hundred".