42293952800 has 162 divisors, whose sum is σ = 113661746667. Its totient is φ = 15356352000.

The previous prime is 42293952793. The next prime is 42293952821. The reversal of 42293952800 is 825939224.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 28295276944 + 13998675856 = 168212^2 + 118316^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145420.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63984470 + ... + 63985130.

Almost surely, 2^42293952800 is an apocalyptic number.

42293952800 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 42293952800

42293952800 is an abundant number, since it is smaller than the sum of its proper divisors (71367793867).

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

42293952800 is an equidigital number, since it uses as much as digits as its factorization.

42293952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 42293952800 in words is "forty-two billion, two hundred ninety-three million, nine hundred fifty-two thousand, eight hundred".