15440114000 has 120 divisors (see below), whose sum is σ = 39660993528. Its totient is φ = 5812531200.

The previous prime is 15440113991. The next prime is 15440114009. The reversal of 15440114000 is 41104451.

It is an interprime number because it is at equal distance from previous prime (15440113991) and next prime (15440114009).

It can be written as a sum of positive squares in 12 ways, for example, as 2162622016 + 13277491984 = 46504^2 + 115228^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15440114009) 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, 564644 + ... + 591356.

Almost surely, 2^15440114000 is an apocalyptic number.

15440114000 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 15440114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19830496764).

15440114000 is an abundant number, since it is smaller than the sum of its proper divisors (24220879528).

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

15440114000 is a wasteful number, since it uses less digits than its factorization.

15440114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26770 (or 26737 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 15440114000 its reverse (41104451), we get a palindrome (15481218451).

The spelling of 15440114000 in words is "fifteen billion, four hundred forty million, one hundred fourteen thousand".