114442433040 has 320 divisors, whose sum is σ = 387575193600. Its totient is φ = 27932276736.

The previous prime is 114442433003. The next prime is 114442433051. The reversal of 114442433040 is 40334244411.

It is a super-2 number, since 2×114442433040² (a number of 23 digits) contains 22 as substring.

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 = 114442432989 and 114442433007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66963706 + ... + 66965414.

It is an arithmetic number, because the mean of its divisors is an integer number (1211172480).

Almost surely, 2^114442433040 is an apocalyptic number.

114442433040 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 114442433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193787596800).

114442433040 is an abundant number, since it is smaller than the sum of its proper divisors (273132760560).

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

114442433040 is a wasteful number, since it uses less digits than its factorization.

114442433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 114442433040 its reverse (40334244411), we get a palindrome (154776677451).

The spelling of 114442433040 in words is "one hundred fourteen billion, four hundred forty-two million, four hundred thirty-three thousand, forty".