42982311600 has 180 divisors, whose sum is σ = 149702519616. Its totient is φ = 11420305920.

The previous prime is 42982311587. The next prime is 42982311623. The reversal of 42982311600 is 611328924.

42982311600 is a `hidden beast` number, since 4 + 29 + 8 + 23 + 1 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×42982311600² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975649 + ... + 1018751.

Almost surely, 2^42982311600 is an apocalyptic number.

42982311600 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 42982311600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74851259808).

42982311600 is an abundant number, since it is smaller than the sum of its proper divisors (106720208016).

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

42982311600 is a wasteful number, since it uses less digits than its factorization.

42982311600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43404 (or 43390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 42982311600 in words is "forty-two billion, nine hundred eighty-two million, three hundred eleven thousand, six hundred".