84040004408320 has 352 divisors, whose sum is σ = 205581281907456. Its totient is φ = 32957615308800.

The previous prime is 84040004408281. The next prime is 84040004408341. The reversal of 84040004408320 is 2380440004048.

It is a self number, because there is not a number n which added to its sum of digits gives 84040004408320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77030250975 + ... + 77030252065.

Almost surely, 2^{84040004408320} is an apocalyptic number.

84040004408320 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 84040004408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102790640953728).

84040004408320 is an abundant number, since it is smaller than the sum of its proper divisors (121541277499136).

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

84040004408320 is a wasteful number, since it uses less digits than its factorization.

84040004408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 84040004408320 in words is "eighty-four trillion, forty billion, four million, four hundred eight thousand, three hundred twenty".