114321330431040 has 224 divisors, whose sum is σ = 370024733070720. Its totient is φ = 29898545545216.

The previous prime is 114321330431029. The next prime is 114321330431047. The reversal of 114321330431040 is 40134033123411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114321330430989 and 114321330431007.

It is not an unprimeable number, because it can be changed into a prime (114321330431047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5679826 + ... + 16152494.

It is an arithmetic number, because the mean of its divisors is an integer number (1651896129780).

Almost surely, 2^{114321330431040} is an apocalyptic number.

114321330431040 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 114321330431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185012366535360).

114321330431040 is an abundant number, since it is smaller than the sum of its proper divisors (255703402639680).

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

114321330431040 is a wasteful number, since it uses less digits than its factorization.

114321330431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10472909 (or 10472899 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 114321330431040 its reverse (40134033123411), we get a palindrome (154455363554451).

The spelling of 114321330431040 in words is "one hundred fourteen trillion, three hundred twenty-one billion, three hundred thirty million, four hundred thirty-one thousand, forty".