42795754200 has 288 divisors, whose sum is σ = 150586076160. Its totient is φ = 10878278400.

The previous prime is 42795754189. The next prime is 42795754229. The reversal of 42795754200 is 245759724.

42795754200 is a `hidden beast` number, since 4 + 2 + 79 + 575 + 4 + 2 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 3732877 + ... + 3744323.

It is an arithmetic number, because the mean of its divisors is an integer number (522868320).

Almost surely, 2^42795754200 is an apocalyptic number.

42795754200 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 42795754200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75293038080).

42795754200 is an abundant number, since it is smaller than the sum of its proper divisors (107790321960).

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

42795754200 is a wasteful number, since it uses less digits than its factorization.

42795754200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11567 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 42795754200 in words is "forty-two billion, seven hundred ninety-five million, seven hundred fifty-four thousand, two hundred".