1141635264 has 448 divisors, whose sum is σ = 4045012992. Its totient is φ = 275558400.

The previous prime is 1141635239. The next prime is 1141635269. The reversal of 1141635264 is 4625361411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1141635269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21540262 + ... + 21540314.

Almost surely, 2^1141635264 is an apocalyptic number.

1141635264 is a gapful number since it is divisible by the number (14) 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 1141635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022506496).

1141635264 is an abundant number, since it is smaller than the sum of its proper divisors (2903377728).

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

1141635264 is a wasteful number, since it uses less digits than its factorization.

1141635264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1141635264 is about 33788.0935241987. The cubic root of 1141635264 is about 1045.1431819254.

Adding to 1141635264 its reverse (4625361411), we get a palindrome (5766996675).

The spelling of 1141635264 in words is "one billion, one hundred forty-one million, six hundred thirty-five thousand, two hundred sixty-four".