1400109120 has 168 divisors, whose sum is σ = 5099252184. Its totient is φ = 351387648.

The previous prime is 1400109101. The next prime is 1400109127. The reversal of 1400109120 is 219010041.

It can be written as a sum of positive squares in 4 ways, for example, as 757790784 + 642318336 = 27528^2 + 25344^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1400109093 and 1400109102.

It is not an unprimeable number, because it can be changed into a prime (1400109127) 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, 34662 + ... + 63258.

Almost surely, 2^1400109120 is an apocalyptic number.

1400109120 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 1400109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549626092).

1400109120 is an abundant number, since it is smaller than the sum of its proper divisors (3699143064).

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

1400109120 is a wasteful number, since it uses less digits than its factorization.

1400109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28637 (or 28624 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1400109120 is about 37418.0320166628. The cubic root of 1400109120 is about 1118.7180059304.

Adding to 1400109120 its reverse (219010041), we get a palindrome (1619119161).

The spelling of 1400109120 in words is "one billion, four hundred million, one hundred nine thousand, one hundred twenty".