1141294032 has 60 divisors (see below), whose sum is σ = 3213231840. Its totient is φ = 378145344.

The previous prime is 1141294019. The next prime is 1141294051. The reversal of 1141294032 is 2304921411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1141293987 and 1141294005.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 319 + ... + 47777.

It is an arithmetic number, because the mean of its divisors is an integer number (53553864).

Almost surely, 2^1141294032 is an apocalyptic number.

1141294032 is a gapful number since it is divisible by the number (12) 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 1141294032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606615920).

1141294032 is an abundant number, since it is smaller than the sum of its proper divisors (2071937808).

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

1141294032 is a wasteful number, since it uses less digits than its factorization.

1141294032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47640 (or 47631 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1141294032 is about 33783.0435573825. The cubic root of 1141294032 is about 1045.0390412984.

The spelling of 1141294032 in words is "one billion, one hundred forty-one million, two hundred ninety-four thousand, thirty-two".