1107133440 has 264 divisors, whose sum is σ = 4122035712. Its totient is φ = 252887040.

The previous prime is 1107133429. The next prime is 1107133441. The reversal of 1107133440 is 443317011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1107133440.

It is not an unprimeable number, because it can be changed into a prime (1107133441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751905 + ... + 753375.

Almost surely, 2^1107133440 is an apocalyptic number.

1107133440 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 1107133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061017856).

1107133440 is an abundant number, since it is smaller than the sum of its proper divisors (3014902272).

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

1107133440 is a wasteful number, since it uses less digits than its factorization.

1107133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1107133440 is about 33273.6147720683. The cubic root of 1107133440 is about 1034.5067359469.

The spelling of 1107133440 in words is "one billion, one hundred seven million, one hundred thirty-three thousand, four hundred forty".