40013126100 has 216 divisors, whose sum is σ = 134020406520. Its totient is φ = 9949962240.

The previous prime is 40013126089. The next prime is 40013126113. The reversal of 40013126100 is 162131004.

It is a happy number.

40013126100 is a `hidden beast` number, since 40 + 0 + 1 + 3 + 12 + 610 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 14867412624 + 25145713476 = 121932^2 + 158574^2 .

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 71 ways as a sum of consecutive naturals, for example, 1655704 + ... + 1679696.

It is an arithmetic number, because the mean of its divisors is an integer number (620464845).

Almost surely, 2^40013126100 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 40013126100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67010203260).

40013126100 is an abundant number, since it is smaller than the sum of its proper divisors (94007280420).

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

40013126100 is a wasteful number, since it uses less digits than its factorization.

40013126100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24139 (or 24129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 40013126100 its reverse (162131004), we get a palindrome (40175257104).

The spelling of 40013126100 in words is "forty billion, thirteen million, one hundred twenty-six thousand, one hundred".