1151200440 has 96 divisors (see below), whose sum is σ = 4029217920. Its totient is φ = 283371264.

The previous prime is 1151200433. The next prime is 1151200447. The reversal of 1151200440 is 440021511.

1151200440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1151200433) and next prime (1151200447).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151200447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118312 + ... + 127671.

It is an arithmetic number, because the mean of its divisors is an integer number (41971020).

Almost surely, 2^1151200440 is an apocalyptic number.

1151200440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1151200440 is an abundant number, since it is smaller than the sum of its proper divisors (2878017480).

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

1151200440 is a wasteful number, since it uses less digits than its factorization.

1151200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246013 (or 246006 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1151200440 is about 33929.3448212605. The cubic root of 1151200440 is about 1048.0539737756.

Adding to 1151200440 its reverse (440021511), we get a palindrome (1591221951).

The spelling of 1151200440 in words is "one billion, one hundred fifty-one million, two hundred thousand, four hundred forty".