114250040411520 has 768 divisors, whose sum is σ = 405928471636800. Its totient is φ = 27307605491712.

The previous prime is 114250040411519. The next prime is 114250040411543. The reversal of 114250040411520 is 25114040052411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1668117436 + ... + 1668185924.

Almost surely, 2^{114250040411520} is an apocalyptic number.

114250040411520 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 114250040411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202964235818400).

114250040411520 is an abundant number, since it is smaller than the sum of its proper divisors (291678431225280).

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

114250040411520 is a wasteful number, since it uses less digits than its factorization.

114250040411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68687 (or 68662 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 114250040411520 its reverse (25114040052411), we get a palindrome (139364080463931).

The spelling of 114250040411520 in words is "one hundred fourteen trillion, two hundred fifty billion, forty million, four hundred eleven thousand, five hundred twenty".