84005991014400 has 3024 divisors, whose sum is σ = 393644301339744. Its totient is φ = 16672106741760.

The previous prime is 84005991014399. The next prime is 84005991014437. The reversal of 84005991014400 is 441019950048.

It is a happy number.

84005991014400 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 599 + 1 + 0 + 14 + 40 + 0 = 666.

It is a super-2 number, since 2×84005991014400² (a number of 29 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 48474315934 + ... + 48474317666.

Almost surely, 2^{84005991014400} is an apocalyptic number.

84005991014400 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 84005991014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196822150669872).

84005991014400 is an abundant number, since it is smaller than the sum of its proper divisors (309638310325344).

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

84005991014400 is a wasteful number, since it uses less digits than its factorization.

84005991014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 84005991014400 in words is "eighty-four trillion, five billion, nine hundred ninety-one million, fourteen thousand, four hundred".