114030143302020 has 768 divisors, whose sum is σ = 381844979712000. Its totient is φ = 25118557747200.

The previous prime is 114030143301979. The next prime is 114030143302021. The reversal of 114030143302020 is 20203341030411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114030143302021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39607550941 + ... + 39607553819.

It is an arithmetic number, because the mean of its divisors is an integer number (497193984000).

Almost surely, 2^{114030143302020} is an apocalyptic number.

114030143302020 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 114030143302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190922489856000).

114030143302020 is an abundant number, since it is smaller than the sum of its proper divisors (267814836409980).

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

114030143302020 is a wasteful number, since it uses less digits than its factorization.

114030143302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 114030143302020 its reverse (20203341030411), we get a palindrome (134233484332431).

The spelling of 114030143302020 in words is "one hundred fourteen trillion, thirty billion, one hundred forty-three million, three hundred two thousand, twenty".