84041658086400 has 2112 divisors, whose sum is σ = 365445390632960. Its totient is φ = 18759026442240.

The previous prime is 84041658086363. The next prime is 84041658086411. The reversal of 84041658086400 is 468085614048.

It is a happy number.

84041658086400 is a `hidden beast` number, since 8 + 4 + 0 + 4 + 16 + 580 + 8 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×84041658086400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 16852144707 + ... + 16852149693.

Almost surely, 2^{84041658086400} is an apocalyptic number.

84041658086400 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 84041658086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182722695316480).

84041658086400 is an abundant number, since it is smaller than the sum of its proper divisors (281403732546560).

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

84041658086400 is an equidigital number, since it uses as much as digits as its factorization.

84041658086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 84041658086400 in words is "eighty-four trillion, forty-one billion, six hundred fifty-eight million, eighty-six thousand, four hundred".