114121425302640 has 480 divisors, whose sum is σ = 453151045226880. Its totient is φ = 25183284166656.

The previous prime is 114121425302579. The next prime is 114121425302641. The reversal of 114121425302640 is 46203524121411.

114121425302640 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 1 + 4 + 2 + 5 + 3 + 0 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114121425302595 and 114121425302604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114121425302641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2247476932 + ... + 2247527708.

It is an arithmetic number, because the mean of its divisors is an integer number (944064677556).

Almost surely, 2^{114121425302640} is an apocalyptic number.

114121425302640 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 114121425302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226575522613440).

114121425302640 is an abundant number, since it is smaller than the sum of its proper divisors (339029619924240).

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

114121425302640 is a wasteful number, since it uses less digits than its factorization.

114121425302640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66209 (or 66200 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 114121425302640 in words is "one hundred fourteen trillion, one hundred twenty-one billion, four hundred twenty-five million, three hundred two thousand, six hundred forty".