42494284800 has 1188 divisors, whose sum is σ = 179850337056. Its totient is φ = 9853747200.

The previous prime is 42494284799. The next prime is 42494284829. The reversal of 42494284800 is 848249424.

42494284800 is a `hidden beast` number, since 4 + 2 + 494 + 2 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1188).

It is a super-2 number, since 2×42494284800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1847577589 + ... + 1847577611.

Almost surely, 2^42494284800 is an apocalyptic number.

42494284800 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 42494284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89925168528).

42494284800 is an abundant number, since it is smaller than the sum of its proper divisors (137356052256).

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

42494284800 is an equidigital number, since it uses as much as digits as its factorization.

42494284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 42494284800 in words is "forty-two billion, four hundred ninety-four million, two hundred eighty-four thousand, eight hundred".