40321214100 has 144 divisors (see below), whose sum is σ = 129900019200. Its totient is φ = 10729532160.

The previous prime is 40321214083. The next prime is 40321214113. The reversal of 40321214100 is 141212304.

40321214100 is a `hidden beast` number, since 40 + 3 + 212 + 1 + 410 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1277712 + ... + 1308888.

Almost surely, 2^40321214100 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 40321214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64950009600).

40321214100 is an abundant number, since it is smaller than the sum of its proper divisors (89578805100).

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

40321214100 is a wasteful number, since it uses less digits than its factorization.

40321214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31679 (or 31666 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40321214100 its reverse (141212304), we get a palindrome (40462426404).

The spelling of 40321214100 in words is "forty billion, three hundred twenty-one million, two hundred fourteen thousand, one hundred".