114020413010000 has 300 divisors, whose sum is σ = 319998338828256. Its totient is φ = 38541992160000.

The previous prime is 114020413009967. The next prime is 114020413010041. The reversal of 114020413010000 is 10314020411.

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 59 ways as a sum of consecutive naturals, for example, 352708439 + ... + 353031561.

Almost surely, 2^{114020413010000} is an apocalyptic number.

114020413010000 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 114020413010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159999169414128).

114020413010000 is an abundant number, since it is smaller than the sum of its proper divisors (205977925818256).

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

114020413010000 is an frugal number, since it uses more digits than its factorization.

114020413010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323300 (or 323208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 114020413010000 its reverse (10314020411), we get a palindrome (114030727030411).

The spelling of 114020413010000 in words is "one hundred fourteen trillion, twenty billion, four hundred thirteen million, ten thousand".