40434020100 has 144 divisors (see below), whose sum is σ = 132754003200. Its totient is φ = 10552959360.

The previous prime is 40434020093. The next prime is 40434020113. The reversal of 40434020100 is 102043404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32415 + ... + 286214.

It is an arithmetic number, because the mean of its divisors is an integer number (921902800).

Almost surely, 2^40434020100 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 40434020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66377001600).

40434020100 is an abundant number, since it is smaller than the sum of its proper divisors (92319983100).

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

40434020100 is a wasteful number, since it uses less digits than its factorization.

40434020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318699 (or 318686 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40434020100 its reverse (102043404), we get a palindrome (40536063504).

The spelling of 40434020100 in words is "forty billion, four hundred thirty-four million, twenty thousand, one hundred".