1141284096 has 324 divisors, whose sum is σ = 3703073920. Its totient is φ = 336752640.

The previous prime is 1141284091. The next prime is 1141284101. The reversal of 1141284096 is 6904821411.

It is an interprime number because it is at equal distance from previous prime (1141284091) and next prime (1141284101).

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 1141284096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141284091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36815601 + ... + 36815631.

Almost surely, 2^1141284096 is an apocalyptic number.

1141284096 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 1141284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851536960).

1141284096 is an abundant number, since it is smaller than the sum of its proper divisors (2561789824).

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

1141284096 is a wasteful number, since it uses less digits than its factorization.

1141284096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1141284096 is about 33782.8965010403. The cubic root of 1141284096 is about 1045.0360086186.

The spelling of 1141284096 in words is "one billion, one hundred forty-one million, two hundred eighty-four thousand, ninety-six".