1141400832 has 288 divisors, whose sum is σ = 3763576320. Its totient is φ = 301916160.

The previous prime is 1141400831. The next prime is 1141400837. The reversal of 1141400832 is 2380041411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141400831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086383 + ... + 2086929.

Almost surely, 2^1141400832 is an apocalyptic number.

1141400832 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 1141400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881788160).

1141400832 is an abundant number, since it is smaller than the sum of its proper divisors (2622175488).

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

1141400832 is a wasteful number, since it uses less digits than its factorization.

1141400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1141400832 is about 33784.6241950388. The cubic root of 1141400832 is about 1045.0716378321.

The spelling of 1141400832 in words is "one billion, one hundred forty-one million, four hundred thousand, eight hundred thirty-two".