42424463040 has 224 divisors, whose sum is σ = 136598192640. Its totient is φ = 11154333696.

The previous prime is 42424463027. The next prime is 42424463069. The reversal of 42424463040 is 4036442424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42424462992 and 42424463010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58355157 + ... + 58355883.

It is an arithmetic number, because the mean of its divisors is an integer number (609813360).

Almost surely, 2^42424463040 is an apocalyptic number.

42424463040 is a gapful number since it is divisible by the number (40) 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 42424463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299096320).

42424463040 is an abundant number, since it is smaller than the sum of its proper divisors (94173729600).

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

42424463040 is a wasteful number, since it uses less digits than its factorization.

42424463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

The spelling of 42424463040 in words is "forty-two billion, four hundred twenty-four million, four hundred sixty-three thousand, forty".