42102033424 has 160 divisors (see below), whose sum is σ = 99274896000. Its totient is φ = 17076326400.

The previous prime is 42102033419. The next prime is 42102033431. The reversal of 42102033424 is 42433020124.

It is a happy number.

It is a super-2 number, since 2×42102033424² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3970722 + ... + 3981310.

It is an arithmetic number, because the mean of its divisors is an integer number (620468100).

Almost surely, 2^42102033424 is an apocalyptic number.

42102033424 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 42102033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49637448000).

42102033424 is an abundant number, since it is smaller than the sum of its proper divisors (57172862576).

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

42102033424 is a wasteful number, since it uses less digits than its factorization.

42102033424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42102033424 its reverse (42433020124), we get a palindrome (84535053548).

The spelling of 42102033424 in words is "forty-two billion, one hundred two million, thirty-three thousand, four hundred twenty-four".