84038005941120 has 1536 divisors, whose sum is σ = 376626194380800. Its totient is φ = 17334566092800.

The previous prime is 84038005941017. The next prime is 84038005941133. The reversal of 84038005941120 is 2114950083048.

84038005941120 is a `hidden beast` number, since 8 + 4 + 0 + 38 + 0 + 0 + 594 + 1 + 1 + 20 = 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 191 ways as a sum of consecutive naturals, for example, 2005132965 + ... + 2005174875.

It is an arithmetic number, because the mean of its divisors is an integer number (245199345300).

Almost surely, 2^{84038005941120} is an apocalyptic number.

84038005941120 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 84038005941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188313097190400).

84038005941120 is an abundant number, since it is smaller than the sum of its proper divisors (292588188439680).

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

84038005941120 is a wasteful number, since it uses less digits than its factorization.

84038005941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42105 (or 42076 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 84038005941120 in words is "eighty-four trillion, thirty-eight billion, five million, nine hundred forty-one thousand, one hundred twenty".