1141208640 has 672 divisors, whose sum is σ = 4912742016. Its totient is φ = 238878720.

The previous prime is 1141208633. The next prime is 1141208659. The reversal of 1141208640 is 468021411.

It is a happy number.

1141208640 is a `hidden beast` number, since 1 + 1 + 4 + 12 + 0 + 8 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7001199 + ... + 7001361.

It is an arithmetic number, because the mean of its divisors is an integer number (7310628).

Almost surely, 2^1141208640 is an apocalyptic number.

1141208640 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 1141208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456371008).

1141208640 is an abundant number, since it is smaller than the sum of its proper divisors (3771533376).

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

1141208640 is a wasteful number, since it uses less digits than its factorization.

1141208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1141208640 is about 33781.7797044501. The cubic root of 1141208640 is about 1045.0129772585.

It can be divided in two parts, 114120 and 8640, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 1141208640 in words is "one billion, one hundred forty-one million, two hundred eight thousand, six hundred forty".