42241155264 has 1120 divisors, whose sum is σ = 168247259136. Its totient is φ = 10154833920.

The previous prime is 42241155251. The next prime is 42241155311. The reversal of 42241155264 is 46255114224.

42241155264 is a `hidden beast` number, since 4 + 2 + 2 + 41 + 1 + 552 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 394777099 + ... + 394777205.

Almost surely, 2^42241155264 is an apocalyptic number.

42241155264 is a gapful number since it is divisible by the number (44) 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 42241155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84123629568).

42241155264 is an abundant number, since it is smaller than the sum of its proper divisors (126006103872).

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

42241155264 is a wasteful number, since it uses less digits than its factorization.

42241155264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 42241155264 its reverse (46255114224), we get a palindrome (88496269488).

The spelling of 42241155264 in words is "forty-two billion, two hundred forty-one million, one hundred fifty-five thousand, two hundred sixty-four".