1142796407424 has 256 divisors, whose sum is σ = 3505379328000. Its totient is φ = 323126415360.

The previous prime is 1142796407407. The next prime is 1142796407483. The reversal of 1142796407424 is 4247046972411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101135727 + ... + 101147025.

It is an arithmetic number, because the mean of its divisors is an integer number (13692888000).

Almost surely, 2^{1142796407424} is an apocalyptic number.

1142796407424 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 1142796407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752689664000).

1142796407424 is an abundant number, since it is smaller than the sum of its proper divisors (2362582920576).

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

1142796407424 is a wasteful number, since it uses less digits than its factorization.

1142796407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11711 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 1142796407424 in words is "one trillion, one hundred forty-two billion, seven hundred ninety-six million, four hundred seven thousand, four hundred twenty-four".