1141640000 has 70 divisors (see below), whose sum is σ = 2830995354. Its totient is φ = 456640000.

The previous prime is 1141639991. The next prime is 1141640009. The reversal of 1141640000 is 461411.

It is an interprime number because it is at equal distance from previous prime (1141639991) and next prime (1141640009).

It can be written as a sum of positive squares in 5 ways, for example, as 600054016 + 541585984 = 24496^2 + 23272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141640009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25730 + ... + 54270.

Almost surely, 2^1141640000 is an apocalyptic number.

1141640000 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 1141640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415497677).

1141640000 is an abundant number, since it is smaller than the sum of its proper divisors (1689355354).

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

1141640000 is an frugal number, since it uses more digits than its factorization.

1141640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28573 (or 28548 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1141640000 is about 33788.1636079856. The cubic root of 1141640000 is about 1045.1446271597.

The spelling of 1141640000 in words is "one billion, one hundred forty-one million, six hundred forty thousand".