42334056053520 has 640 divisors, whose sum is σ = 164029741424640. Its totient is φ = 8774603735040.

The previous prime is 42334056053437. The next prime is 42334056053521. The reversal of 42334056053520 is 2535065043324.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42334056053521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20864491866 + ... + 20864493894.

It is an arithmetic number, because the mean of its divisors is an integer number (256296470976).

Almost surely, 2^{42334056053520} is an apocalyptic number.

42334056053520 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 42334056053520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82014870712320).

42334056053520 is an abundant number, since it is smaller than the sum of its proper divisors (121695685371120).

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

42334056053520 is a wasteful number, since it uses less digits than its factorization.

42334056053520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 42334056053520 in words is "forty-two trillion, three hundred thirty-four billion, fifty-six million, fifty-three thousand, five hundred twenty".