42233543524032 has 336 divisors, whose sum is σ = 133628256260352. Its totient is φ = 11531001968640.

The previous prime is 42233543523979. The next prime is 42233543524037. The reversal of 42233543524032 is 23042534533224.

It is a tau number, because it is divible by the number of its divisors (336).

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 (42233543524037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754317543 + ... + 754373529.

It is an arithmetic number, because the mean of its divisors is an integer number (397703143632).

Almost surely, 2^{42233543524032} is an apocalyptic number.

42233543524032 is a gapful number since it is divisible by the number (42) 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 42233543524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66814128130176).

42233543524032 is an abundant number, since it is smaller than the sum of its proper divisors (91394712736320).

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

42233543524032 is a wasteful number, since it uses less digits than its factorization.

42233543524032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57116 (or 57083 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

The spelling of 42233543524032 in words is "forty-two trillion, two hundred thirty-three billion, five hundred forty-three million, five hundred twenty-four thousand, thirty-two".