1110100040 has 128 divisors (see below), whose sum is σ = 2946620160. Its totient is φ = 368492544.

The previous prime is 1110100039. The next prime is 1110100067. The reversal of 1110100040 is 400010111.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1649144 + ... + 1649816.

It is an arithmetic number, because the mean of its divisors is an integer number (23020470).

Almost surely, 2^1110100040 is an apocalyptic number.

1110100040 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 1110100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473310080).

1110100040 is an abundant number, since it is smaller than the sum of its proper divisors (1836520120).

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

1110100040 is a wasteful number, since it uses less digits than its factorization.

1110100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1110100040 is about 33318.1638149523. The cubic root of 1110100040 is about 1035.4299100084.

Adding to 1110100040 its reverse (400010111), we get a palindrome (1510110151).

The spelling of 1110100040 in words is "one billion, one hundred ten million, one hundred thousand, forty".