40100242014 has 288 divisors, whose sum is σ = 109196605440. Its totient is φ = 10579766400.

The previous prime is 40100241977. The next prime is 40100242027. The reversal of 40100242014 is 41024200104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81670309 + ... + 81670799.

It is an arithmetic number, because the mean of its divisors is an integer number (379154880).

Almost surely, 2^40100242014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40100242014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54598302720).

40100242014 is an abundant number, since it is smaller than the sum of its proper divisors (69096363426).

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

40100242014 is a wasteful number, since it uses less digits than its factorization.

40100242014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40100242014 its reverse (41024200104), we get a palindrome (81124442118).

The spelling of 40100242014 in words is "forty billion, one hundred million, two hundred forty-two thousand, fourteen".