114011253050240 has 256 divisors, whose sum is σ = 335499043824000. Its totient is φ = 36078072496128.

The previous prime is 114011253050239. The next prime is 114011253050287. The reversal of 114011253050240 is 42050352110411.

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 31 ways as a sum of consecutive naturals, for example, 470982356 + ... + 471224364.

Almost surely, 2^{114011253050240} is an apocalyptic number.

114011253050240 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 114011253050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167749521912000).

114011253050240 is an abundant number, since it is smaller than the sum of its proper divisors (221487790773760).

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

114011253050240 is a wasteful number, since it uses less digits than its factorization.

114011253050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250137 (or 250125 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 114011253050240 in words is "one hundred fourteen trillion, eleven billion, two hundred fifty-three million, fifty thousand, two hundred forty".