10114544355440 has 240 divisors, whose sum is σ = 29064628137600. Its totient is φ = 3254619142656.

The previous prime is 10114544355407. The next prime is 10114544355493. The reversal of 10114544355440 is 4455344541101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7334771 + ... + 8603949.

It is an arithmetic number, because the mean of its divisors is an integer number (121102617240).

Almost surely, 2^{10114544355440} is an apocalyptic number.

10114544355440 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 10114544355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532314068800).

10114544355440 is an abundant number, since it is smaller than the sum of its proper divisors (18950083782160).

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

10114544355440 is a wasteful number, since it uses less digits than its factorization.

10114544355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269332 (or 1269319 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 41.

Adding to 10114544355440 its reverse (4455344541101), we get a palindrome (14569888896541).

The spelling of 10114544355440 in words is "ten trillion, one hundred fourteen billion, five hundred forty-four million, three hundred fifty-five thousand, four hundred forty".