40013110032100 has 72 divisors (see below), whose sum is σ = 89846580700800. Its totient is φ = 15449201846400.

The previous prime is 40013110032083. The next prime is 40013110032109. The reversal of 40013110032100 is 123001131004.

It is not an unprimeable number, because it can be changed into a prime (40013110032109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8998005 + ... + 12688195.

It is an arithmetic number, because the mean of its divisors is an integer number (1247869176400).

Almost surely, 2^{40013110032100} 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 40013110032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44923290350400).

40013110032100 is an abundant number, since it is smaller than the sum of its proper divisors (49833470668700).

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

40013110032100 is a wasteful number, since it uses less digits than its factorization.

40013110032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693973 (or 3693966 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 40013110032100 its reverse (123001131004), we get a palindrome (40136111163104).

The spelling of 40013110032100 in words is "forty trillion, thirteen billion, one hundred ten million, thirty-two thousand, one hundred".