42104122402432 has 128 divisors (see below), whose sum is σ = 89295182764560. Its totient is φ = 19706268352512.

The previous prime is 42104122402423. The next prime is 42104122402439. The reversal of 42104122402432 is 23420422140124.

It can be written as a sum of positive squares in 8 ways, for example, as 6598445737536 + 35505676664896 = 2568744^2 + 5958664^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42104122402432² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42104122402394 and 42104122402403.

It is not an unprimeable number, because it can be changed into a prime (42104122402439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214481758 + ... + 2214500770.

Almost surely, 2^{42104122402432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42104122402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44647591382280).

42104122402432 is an abundant number, since it is smaller than the sum of its proper divisors (47191060362128).

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

42104122402432 is a wasteful number, since it uses less digits than its factorization.

42104122402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24510 (or 24498 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 42104122402432 its reverse (23420422140124), we get a palindrome (65524544542556).

The spelling of 42104122402432 in words is "forty-two trillion, one hundred four billion, one hundred twenty-two million, four hundred two thousand, four hundred thirty-two".