42424002400024 has 64 divisors (see below), whose sum is σ = 93829242182400. Its totient is φ = 17606781143424.

The previous prime is 42424002400009. The next prime is 42424002400061. The reversal of 42424002400024 is 42000420042424.

It is a super-2 number, since 2×42424002400024² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42424002399965 and 42424002400001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95600979 + ... + 96043714.

It is an arithmetic number, because the mean of its divisors is an integer number (1466081909100).

Almost surely, 2^{42424002400024} is an apocalyptic number.

It is an amenable number.

42424002400024 is an abundant number, since it is smaller than the sum of its proper divisors (51405239782376).

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

42424002400024 is a wasteful number, since it uses less digits than its factorization.

42424002400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191644832 (or 191644828 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42424002400024 its reverse (42000420042424), we get a palindrome (84424422442448).

The spelling of 42424002400024 in words is "forty-two trillion, four hundred twenty-four billion, two million, four hundred thousand, twenty-four".