114151040040 has 128 divisors (see below), whose sum is σ = 354597782400. Its totient is φ = 29362744320.

The previous prime is 114151040033. The next prime is 114151040057. The reversal of 114151040040 is 40040151411.

It is a junction number, because it is equal to n+sod(n) for n = 114151039989 and 114151040016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3788635 + ... + 3818645.

It is an arithmetic number, because the mean of its divisors is an integer number (2770295175).

Almost surely, 2^114151040040 is an apocalyptic number.

114151040040 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 114151040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177298891200).

114151040040 is an abundant number, since it is smaller than the sum of its proper divisors (240446742360).

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

114151040040 is a wasteful number, since it uses less digits than its factorization.

114151040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31147 (or 31143 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 114151040040 its reverse (40040151411), we get a palindrome (154191191451).

The spelling of 114151040040 in words is "one hundred fourteen billion, one hundred fifty-one million, forty thousand, forty".