42202611360 has 768 divisors, whose sum is σ = 187714437120. Its totient is φ = 8614563840.

The previous prime is 42202611343. The next prime is 42202611377. The reversal of 42202611360 is 6311620224.

42202611360 is a `hidden beast` number, since 42 + 2 + 0 + 2 + 611 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42202611343) and next prime (42202611377).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 12184989 + ... + 12188451.

It is an arithmetic number, because the mean of its divisors is an integer number (244419840).

Almost surely, 2^42202611360 is an apocalyptic number.

42202611360 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 42202611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93857218560).

42202611360 is an abundant number, since it is smaller than the sum of its proper divisors (145511825760).

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

42202611360 is a wasteful number, since it uses less digits than its factorization.

42202611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 42202611360 in words is "forty-two billion, two hundred two million, six hundred eleven thousand, three hundred sixty".