1042392252096 has 224 divisors, whose sum is σ = 3318412260800. Its totient is φ = 318962810880.

The previous prime is 1042392252059. The next prime is 1042392252133. The reversal of 1042392252096 is 6902522932401.

1042392252096 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 39 + 2 + 2 + 520 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1042392252059) and next prime (1042392252133).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3937800 + ... + 4194168.

It is an arithmetic number, because the mean of its divisors is an integer number (14814340450).

Almost surely, 2^{1042392252096} is an apocalyptic number.

1042392252096 is a gapful number since it is divisible by the number (16) 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 1042392252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659206130400).

1042392252096 is an abundant number, since it is smaller than the sum of its proper divisors (2276020008704).

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

1042392252096 is a wasteful number, since it uses less digits than its factorization.

1042392252096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256584 (or 256568 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1042392252096 in words is "one trillion, forty-two billion, three hundred ninety-two million, two hundred fifty-two thousand, ninety-six".