42992337600 has 1176 divisors, whose sum is σ = 173502645120. Its totient is φ = 10450944000.

The previous prime is 42992337599. The next prime is 42992337611. The reversal of 42992337600 is 673329924.

42992337600 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 2 + 3 + 37 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1048593580 + ... + 1048593620.

Almost surely, 2^42992337600 is an apocalyptic number.

42992337600 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 42992337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86751322560).

42992337600 is an abundant number, since it is smaller than the sum of its proper divisors (130510307520).

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

42992337600 is a wasteful number, since it uses less digits than its factorization.

42992337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 42992337600 in words is "forty-two billion, nine hundred ninety-two million, three hundred thirty-seven thousand, six hundred".