42545431104 has 448 divisors, whose sum is σ = 133253683200. Its totient is φ = 11844403200.

The previous prime is 42545431079. The next prime is 42545431109. The reversal of 42545431104 is 40113454524.

It is a happy number.

42545431104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42545431104² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42545431109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310550524 + ... + 310550660.

Almost surely, 2^42545431104 is an apocalyptic number.

42545431104 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 42545431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66626841600).

42545431104 is an abundant number, since it is smaller than the sum of its proper divisors (90708252096).

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

42545431104 is a wasteful number, since it uses less digits than its factorization.

42545431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 42545431104 its reverse (40113454524), we get a palindrome (82658885628).

The spelling of 42545431104 in words is "forty-two billion, five hundred forty-five million, four hundred thirty-one thousand, one hundred four".