1141504400 has 30 divisors (see below), whose sum is σ = 2742465282. Its totient is φ = 456601600.

The previous prime is 1141504381. The next prime is 1141504451. The reversal of 1141504400 is 44051411.

It can be written as a sum of positive squares in 3 ways, for example, as 157051024 + 984453376 = 12532^2 + 31376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1426481 + ... + 1427280.

Almost surely, 2^1141504400 is an apocalyptic number.

1141504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141504400 is an abundant number, since it is smaller than the sum of its proper divisors (1600960882).

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

1141504400 is a wasteful number, since it uses less digits than its factorization.

1141504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853779 (or 2853768 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1141504400 is about 33786.1569285410. The cubic root of 1141504400 is about 1045.1032459820.

Adding to 1141504400 its reverse (44051411), we get a palindrome (1185555811).

The spelling of 1141504400 in words is "one billion, one hundred forty-one million, five hundred four thousand, four hundred".