42024400440 has 64 divisors (see below), whose sum is σ = 137534405760. Its totient is φ = 10187733120.

The previous prime is 42024400427. The next prime is 42024400489. The reversal of 42024400440 is 4400442024.

42024400440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42024400440.

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, 15917014 + ... + 15919653.

It is an arithmetic number, because the mean of its divisors is an integer number (2148975090).

Almost surely, 2^42024400440 is an apocalyptic number.

42024400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42024400440 is an abundant number, since it is smaller than the sum of its proper divisors (95510005320).

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

42024400440 is a wasteful number, since it uses less digits than its factorization.

42024400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31836692 (or 31836688 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42024400440 its reverse (4400442024), we get a palindrome (46424842464).

The spelling of 42024400440 in words is "forty-two billion, twenty-four million, four hundred thousand, four hundred forty".