40132103410100 has 288 divisors, whose sum is σ = 101019987806976. Its totient is φ = 13706387251200.

The previous prime is 40132103410093. The next prime is 40132103410187. The reversal of 40132103410100 is 101430123104.

It is a super-2 number, since 2×40132103410100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 497364359 + ... + 497445041.

It is an arithmetic number, because the mean of its divisors is an integer number (350763846552).

Almost surely, 2^{40132103410100} 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 40132103410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50509993903488).

40132103410100 is an abundant number, since it is smaller than the sum of its proper divisors (60887884396876).

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

40132103410100 is a wasteful number, since it uses less digits than its factorization.

40132103410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81115 (or 81108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 40132103410100 its reverse (101430123104), we get a palindrome (40233533533204).

The spelling of 40132103410100 in words is "forty trillion, one hundred thirty-two billion, one hundred three million, four hundred ten thousand, one hundred".