114241125151040 has 84 divisors (see below), whose sum is σ = 274036856800476. Its totient is φ = 45362896945152.

The previous prime is 114241125151039. The next prime is 114241125151063. The reversal of 114241125151040 is 40151521142411.

It can be written as a sum of positive squares in 6 ways, for example, as 10103345387776 + 104137779763264 = 3178576^2 + 10204792^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 114241125150988 and 114241125151006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3504377 + ... + 15516536.

It is an arithmetic number, because the mean of its divisors is an integer number (3262343533339).

Almost surely, 2^{114241125151040} is an apocalyptic number.

114241125151040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114241125151040 is an abundant number, since it is smaller than the sum of its proper divisors (159795731649436).

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

114241125151040 is an equidigital number, since it uses as much as digits as its factorization.

114241125151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19021204 (or 19021057 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

Adding to 114241125151040 its reverse (40151521142411), we get a palindrome (154392646293451).

The spelling of 114241125151040 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred twenty-five million, one hundred fifty-one thousand, forty".