1141239456 has 240 divisors, whose sum is σ = 3961520640. Its totient is φ = 315394560.

The previous prime is 1141239409. The next prime is 1141239493. The reversal of 1141239456 is 6549321411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1141239456.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 561450 + ... + 563478.

It is an arithmetic number, because the mean of its divisors is an integer number (16506336).

Almost surely, 2^1141239456 is an apocalyptic number.

1141239456 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 1141239456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980760320).

1141239456 is an abundant number, since it is smaller than the sum of its proper divisors (2820281184).

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

1141239456 is a wasteful number, since it uses less digits than its factorization.

1141239456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2072 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1141239456 is about 33782.2358052276. The cubic root of 1141239456 is about 1045.0223833182.

The spelling of 1141239456 in words is "one billion, one hundred forty-one million, two hundred thirty-nine thousand, four hundred fifty-six".