10114002201440 has 96 divisors (see below), whose sum is σ = 23986356006816. Its totient is φ = 4030028881920.

The previous prime is 10114002201421. The next prime is 10114002201451. The reversal of 10114002201440 is 4410220041101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149978930 + ... + 150046350.

It is an arithmetic number, because the mean of its divisors is an integer number (249857875071).

Almost surely, 2^{10114002201440} is an apocalyptic number.

10114002201440 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 10114002201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11993178003408).

10114002201440 is an abundant number, since it is smaller than the sum of its proper divisors (13872353805376).

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

10114002201440 is a wasteful number, since it uses less digits than its factorization.

10114002201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71032 (or 71024 counting only the distinct ones).

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

Adding to 10114002201440 its reverse (4410220041101), we get a palindrome (14524222242541).

The spelling of 10114002201440 in words is "ten trillion, one hundred fourteen billion, two million, two hundred one thousand, four hundred forty".