114002121040 has 40 divisors (see below), whose sum is σ = 280646401320. Its totient is φ = 42918445056.

The previous prime is 114002121019. The next prime is 114002121109. The reversal of 114002121040 is 40121200411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8345918736 + 105656202304 = 91356^2 + 325048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41911185 + ... + 41913904.

It is an arithmetic number, because the mean of its divisors is an integer number (7016160033).

Almost surely, 2^114002121040 is an apocalyptic number.

114002121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114002121040 is an abundant number, since it is smaller than the sum of its proper divisors (166644280280).

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

114002121040 is a wasteful number, since it uses less digits than its factorization.

114002121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83825119 (or 83825113 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 114002121040 its reverse (40121200411), we get a palindrome (154123321451).

The spelling of 114002121040 in words is "one hundred fourteen billion, two million, one hundred twenty-one thousand, forty".