10114401440 has 192 divisors, whose sum is σ = 28393908480. Its totient is φ = 3356221440.

The previous prime is 10114401433. The next prime is 10114401449. The reversal of 10114401440 is 4410441101.

It is a happy number.

It is a super-2 number, since 2×10114401440² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10114401449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033837 + ... + 2038803.

It is an arithmetic number, because the mean of its divisors is an integer number (147884940).

Almost surely, 2^10114401440 is an apocalyptic number.

10114401440 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 10114401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196954240).

10114401440 is an abundant number, since it is smaller than the sum of its proper divisors (18279507040).

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

10114401440 is a wasteful number, since it uses less digits than its factorization.

10114401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10114401440 its reverse (4410441101), we get a palindrome (14524842541).

The spelling of 10114401440 in words is "ten billion, one hundred fourteen million, four hundred one thousand, four hundred forty".