1141257600 has 960 divisors, whose sum is σ = 5233995360. Its totient is φ = 238878720.

The previous prime is 1141257589. The next prime is 1141257641. The reversal of 1141257600 is 67521411.

It is a happy number.

1141257600 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 57 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30844782 + ... + 30844818.

Almost surely, 2^1141257600 is an apocalyptic number.

1141257600 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 1141257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616997680).

1141257600 is an abundant number, since it is smaller than the sum of its proper divisors (4092737760).

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

1141257600 is a wasteful number, since it uses less digits than its factorization.

1141257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1141257600 is about 33782.5043476649. The cubic root of 1141257600 is about 1045.0279213864.

The spelling of 1141257600 in words is "one billion, one hundred forty-one million, two hundred fifty-seven thousand, six hundred".