42298799400 has 1440 divisors, whose sum is σ = 187727047200. Its totient is φ = 8678016000.

The previous prime is 42298799371. The next prime is 42298799423. The reversal of 42298799400 is 499789224.

42298799400 is a `hidden beast` number, since 4 + 229 + 8 + 7 + 9 + 9 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1364477385 + ... + 1364477415.

It is an arithmetic number, because the mean of its divisors is an integer number (130366005).

Almost surely, 2^42298799400 is an apocalyptic number.

42298799400 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 42298799400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93863523600).

42298799400 is an abundant number, since it is smaller than the sum of its proper divisors (145428247800).

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

42298799400 is a wasteful number, since it uses less digits than its factorization.

42298799400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 42298799400 in words is "forty-two billion, two hundred ninety-eight million, seven hundred ninety-nine thousand, four hundred".