114540001040 has 40 divisors (see below), whose sum is σ = 281970535320. Its totient is φ = 43120941056.

The previous prime is 114540001013. The next prime is 114540001067. The reversal of 114540001040 is 40100045411.

It is an interprime number because it is at equal distance from previous prime (114540001013) and next prime (114540001067).

It can be written as a sum of positive squares in 4 ways, for example, as 2213137936 + 112326863104 = 47044^2 + 335152^2 .

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 (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42108935 + ... + 42111654.

It is an arithmetic number, because the mean of its divisors is an integer number (7049263383).

Almost surely, 2^114540001040 is an apocalyptic number.

114540001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114540001040 is an abundant number, since it is smaller than the sum of its proper divisors (167430534280).

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

114540001040 is a wasteful number, since it uses less digits than its factorization.

114540001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84220619 (or 84220613 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 114540001040 its reverse (40100045411), we get a palindrome (154640046451).

The spelling of 114540001040 in words is "one hundred fourteen billion, five hundred forty million, one thousand, forty".