1042142640 has 160 divisors (see below), whose sum is σ = 4027885056. Its totient is φ = 216545280.

The previous prime is 1042142639. The next prime is 1042142659. The reversal of 1042142640 is 462412401.

It is a happy number.

It is a super-2 number, since 2×1042142640² = 2172122564212339200, which contains 22 as substring.

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 1042142640.

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, 9717 + ... + 46676.

Almost surely, 2^1042142640 is an apocalyptic number.

1042142640 is a gapful number since it is divisible by the number (10) 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 1042142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013942528).

1042142640 is an abundant number, since it is smaller than the sum of its proper divisors (2985742416).

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

1042142640 is a wasteful number, since it uses less digits than its factorization.

1042142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56427 (or 56421 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1042142640 is about 32282.2341234308. The cubic root of 1042142640 is about 1013.8547072693.

The spelling of 1042142640 in words is "one billion, forty-two million, one hundred forty-two thousand, six hundred forty".