1100431440 has 160 divisors (see below), whose sum is σ = 3820291200. Its totient is φ = 291133440.

The previous prime is 1100431429. The next prime is 1100431463. The reversal of 1100431440 is 441340011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281016 + ... + 284904.

It is an arithmetic number, because the mean of its divisors is an integer number (23876820).

Almost surely, 2^1100431440 is an apocalyptic number.

1100431440 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 1100431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910145600).

1100431440 is an abundant number, since it is smaller than the sum of its proper divisors (2719859760).

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

1100431440 is a wasteful number, since it uses less digits than its factorization.

1100431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1100431440 is about 33172.7514686376. The cubic root of 1100431440 is about 1032.4150574923.

Adding to 1100431440 its reverse (441340011), we get a palindrome (1541771451).

The spelling of 1100431440 in words is "one billion, one hundred million, four hundred thirty-one thousand, four hundred forty".