80042183424000 has 1920 divisors, whose sum is σ = 358955922124800. Its totient is φ = 17331845529600.

The previous prime is 80042183423947. The next prime is 80042183424029. The reversal of 80042183424000 is 42438124008.

80042183424000 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 218 + 34 + 2 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×80042183424000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2757873489 + ... + 2757902511.

It is an arithmetic number, because the mean of its divisors is an integer number (186956209440).

Almost surely, 2^{80042183424000} is an apocalyptic number.

80042183424000 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 80042183424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179477961062400).

80042183424000 is an abundant number, since it is smaller than the sum of its proper divisors (278913738700800).

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

80042183424000 is a wasteful number, since it uses less digits than its factorization.

80042183424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29098 (or 29059 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 80042183424000 in words is "eighty trillion, forty-two billion, one hundred eighty-three million, four hundred twenty-four thousand".