10114402304000 has 120 divisors (see below), whose sum is σ = 25244782829448. Its totient is φ = 4045760102400.

The previous prime is 10114402303979. The next prime is 10114402304003. The reversal of 10114402304000 is 40320441101.

It can be written as a sum of positive squares in 4 ways, for example, as 2819390242816 + 7295012061184 = 1679104^2 + 2700928^2 .

It is a super-2 number, since 2×10114402304000² (a number of 27 digits) contains 22 as substring.

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 (10114402304003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421337 + ... + 4517336.

Almost surely, 2^{10114402304000} is an apocalyptic number.

10114402304000 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 10114402304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12622391414724).

10114402304000 is an abundant number, since it is smaller than the sum of its proper divisors (15130380525448).

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

10114402304000 is an frugal number, since it uses more digits than its factorization.

10114402304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938716 (or 4938680 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10114402304000 its reverse (40320441101), we get a palindrome (10154722745101).

The spelling of 10114402304000 in words is "ten trillion, one hundred fourteen billion, four hundred two million, three hundred four thousand".