42634771200 has 1080 divisors, whose sum is σ = 186462510080. Its totient is φ = 9405849600.

The previous prime is 42634771187. The next prime is 42634771237. The reversal of 42634771200 is 217743624.

42634771200 is a `hidden beast` number, since 4 + 2 + 63 + 477 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112492611 + ... + 112492989.

Almost surely, 2^42634771200 is an apocalyptic number.

42634771200 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 42634771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93231255040).

42634771200 is an abundant number, since it is smaller than the sum of its proper divisors (143827738880).

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

42634771200 is a wasteful number, since it uses less digits than its factorization.

42634771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 42634771200 in words is "forty-two billion, six hundred thirty-four million, seven hundred seventy-one thousand, two hundred".