42032310144 has 384 divisors, whose sum is σ = 131275468800. Its totient is φ = 11865047040.

The previous prime is 42032310119. The next prime is 42032310149. The reversal of 42032310144 is 44101323024.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032310149) 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, 100315567 + ... + 100315985.

It is an arithmetic number, because the mean of its divisors is an integer number (341863200).

Almost surely, 2^42032310144 is an apocalyptic number.

42032310144 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 42032310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65637734400).

42032310144 is an abundant number, since it is smaller than the sum of its proper divisors (89243158656).

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

42032310144 is a wasteful number, since it uses less digits than its factorization.

42032310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42032310144 its reverse (44101323024), we get a palindrome (86133633168).

The spelling of 42032310144 in words is "forty-two billion, thirty-two million, three hundred ten thousand, one hundred forty-four".