42354133145324 has 96 divisors (see below), whose sum is σ = 100502725542912. Its totient is φ = 15081441120000.

The previous prime is 42354133145281. The next prime is 42354133145329.

42354133145324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (42354133145329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51961712 + ... + 52770519.

It is an arithmetic number, because the mean of its divisors is an integer number (1046903391072).

Almost surely, 2^{42354133145324} is an apocalyptic number.

42354133145324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42354133145324 is an abundant number, since it is smaller than the sum of its proper divisors (58148592397588).

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

42354133145324 is a wasteful number, since it uses less digits than its factorization.

42354133145324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104732367 (or 104732365 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

The spelling of 42354133145324 in words is "forty-two trillion, three hundred fifty-four billion, one hundred thirty-three million, one hundred forty-five thousand, three hundred twenty-four".