40127100 has 72 divisors (see below), whose sum is σ = 125044080. Its totient is φ = 9876480.

The previous prime is 40127083. The next prime is 40127117. The reversal of 40127100 is 172104.

It is an interprime number because it is at equal distance from previous prime (40127083) and next prime (40127117).

It is a super-2 number, since 2×40127100² = 3220368308820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40127100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245 + ... + 9044.

Almost surely, 2^40127100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40127100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62522040).

40127100 is an abundant number, since it is smaller than the sum of its proper divisors (84916980).

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

40127100 is a wasteful number, since it uses less digits than its factorization.

40127100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 40127100 is about 6334.5954882692. The cubic root of 40127100 is about 342.3570362540.

Adding to 40127100 its reverse (172104), we get a palindrome (40299204).

The spelling of 40127100 in words is "forty million, one hundred twenty-seven thousand, one hundred".