114010505202040 has 64 divisors (see below), whose sum is σ = 256695288192000. Its totient is φ = 45573689011200.

The previous prime is 114010505202031. The next prime is 114010505202059. The reversal of 114010505202040 is 40202505010411.

It is a junction number, because it is equal to n+sod(n) for n = 114010505201996 and 114010505202014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2545479966 + ... + 2545524754.

It is an arithmetic number, because the mean of its divisors is an integer number (4010863878000).

Almost surely, 2^{114010505202040} is an apocalyptic number.

114010505202040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114010505202040 is an abundant number, since it is smaller than the sum of its proper divisors (142684782989960).

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

114010505202040 is a wasteful number, since it uses less digits than its factorization.

114010505202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85960 (or 85956 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 114010505202040 in words is "one hundred fourteen trillion, ten billion, five hundred five million, two hundred two thousand, forty".