1141636800 has 168 divisors, whose sum is σ = 3837535632. Its totient is φ = 296960000.

The previous prime is 1141636787. The next prime is 1141636849. The reversal of 1141636800 is 86361411.

It is a super-2 number, since 2×1141636800² = 2606669166228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193900 + ... + 199700.

It is an arithmetic number, because the mean of its divisors is an integer number (22842474).

Almost surely, 2^1141636800 is an apocalyptic number.

1141636800 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 1141636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918767816).

1141636800 is an abundant number, since it is smaller than the sum of its proper divisors (2695898832).

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

1141636800 is a wasteful number, since it uses less digits than its factorization.

1141636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1141636800 is about 33788.1162540915. The cubic root of 1141636800 is about 1045.1436506505.

The spelling of 1141636800 in words is "one billion, one hundred forty-one million, six hundred thirty-six thousand, eight hundred".