1042434624 has 224 divisors, whose sum is σ = 3511296000. Its totient is φ = 270574080.

The previous prime is 1042434619. The next prime is 1042434629. The reversal of 1042434624 is 4264342401.

It is an interprime number because it is at equal distance from previous prime (1042434619) and next prime (1042434629).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1042434591 and 1042434600.

It is not an unprimeable number, because it can be changed into a prime (1042434629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723697 + ... + 725135.

Almost surely, 2^1042434624 is an apocalyptic number.

1042434624 is a gapful number since it is divisible by the number (14) 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 1042434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755648000).

1042434624 is an abundant number, since it is smaller than the sum of its proper divisors (2468861376).

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

1042434624 is a wasteful number, since it uses less digits than its factorization.

1042434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 1042434624 is about 32286.7561702937. The cubic root of 1042434624 is about 1013.9493845553.

The spelling of 1042434624 in words is "one billion, forty-two million, four hundred thirty-four thousand, six hundred twenty-four".