42096412800 has 1080 divisors, whose sum is σ = 173815132095. Its totient is φ = 10027929600.

The previous prime is 42096412783. The next prime is 42096412801. The reversal of 42096412800 is 821469024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42096412800 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 641 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2635384896 + 39461027904 = 51336^2 + 198648^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145080.

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

It is not an unprimeable number, because it can be changed into a prime (42096412801) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1357948785 + ... + 1357948815.

Almost surely, 2^42096412800 is an apocalyptic number.

42096412800 is a gapful number since it is divisible by the number (40) 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 42096412800

42096412800 is an abundant number, since it is smaller than the sum of its proper divisors (131718719295).

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

42096412800 is a wasteful number, since it uses less digits than its factorization.

42096412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 42096412800 in words is "forty-two billion, ninety-six million, four hundred twelve thousand, eight hundred".