42792792224400 has 405 divisors, whose sum is σ = 153491463506043. Its totient is φ = 11040161241600.

The previous prime is 42792792224363. The next prime is 42792792224447. The reversal of 42792792224400 is 442229729724.

The square root of 42792792224400 is 6541620.

It is a perfect power (a square), and thus also a powerful number.

42792792224400 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 2 + 7 + 9 + 2 + 224 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7790328525456 + 35002463698944 = 2791116^2 + 5916288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12167411442 + ... + 12167414958.

Almost surely, 2^{42792792224400} is an apocalyptic number.

42792792224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42792792224400 is the 6541620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42792792224400

42792792224400 is an abundant number, since it is smaller than the sum of its proper divisors (110698671281643).

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

42792792224400 is an equidigital number, since it uses as much as digits as its factorization.

42792792224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 42792792224400 in words is "forty-two trillion, seven hundred ninety-two billion, seven hundred ninety-two million, two hundred twenty-four thousand, four hundred".