42013200024 has 192 divisors, whose sum is σ = 119276071200. Its totient is φ = 13349836800.

The previous prime is 42013200023. The next prime is 42013200043. The reversal of 42013200024 is 42000231024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013200023) 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, 18915234 + ... + 18917454.

Almost surely, 2^42013200024 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 42013200024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59638035600).

42013200024 is an abundant number, since it is smaller than the sum of its proper divisors (77262871176).

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

42013200024 is a wasteful number, since it uses less digits than its factorization.

42013200024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42013200024 its reverse (42000231024), we get a palindrome (84013431048).

The spelling of 42013200024 in words is "forty-two billion, thirteen million, two hundred thousand, twenty-four".