1141949340 has 336 divisors, whose sum is σ = 4195441152. Its totient is φ = 255581568.

The previous prime is 1141949317. The next prime is 1141949351. The reversal of 1141949340 is 439491411.

1141949340 is a `hidden beast` number, since 114 + 19 + 493 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1141949295 and 1141949304.

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 111 ways as a sum of consecutive naturals, for example, 6837937 + ... + 6838103.

It is an arithmetic number, because the mean of its divisors is an integer number (12486432).

Almost surely, 2^1141949340 is an apocalyptic number.

1141949340 is a gapful number since it is divisible by the number (10) 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 1141949340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097720576).

1141949340 is an abundant number, since it is smaller than the sum of its proper divisors (3053491812).

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

1141949340 is a wasteful number, since it uses less digits than its factorization.

1141949340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1141949340 is about 33792.7409364792. The cubic root of 1141949340 is about 1045.2390164716.

The spelling of 1141949340 in words is "one billion, one hundred forty-one million, nine hundred forty-nine thousand, three hundred forty".