10114112245440 has 448 divisors, whose sum is σ = 36819040204800. Its totient is φ = 2304298450944.

The previous prime is 10114112245423. The next prime is 10114112245459. The reversal of 10114112245440 is 4454221141101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10114112245398 and 10114112245407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3253170606 + ... + 3253173714.

It is an arithmetic number, because the mean of its divisors is an integer number (82185357600).

Almost surely, 2^{10114112245440} is an apocalyptic number.

10114112245440 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 10114112245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18409520102400).

10114112245440 is an abundant number, since it is smaller than the sum of its proper divisors (26704927959360).

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

10114112245440 is a wasteful number, since it uses less digits than its factorization.

10114112245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 10114112245440 its reverse (4454221141101), we get a palindrome (14568333386541).

The spelling of 10114112245440 in words is "ten trillion, one hundred fourteen billion, one hundred twelve million, two hundred forty-five thousand, four hundred forty".