40321110000 has 400 divisors, whose sum is σ = 138918456864. Its totient is φ = 10039296000.

The previous prime is 40321109981. The next prime is 40321110013. The reversal of 40321110000 is 1112304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88229772 + ... + 88230228.

Almost surely, 2^40321110000 is an apocalyptic number.

40321110000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40321110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69459228432).

40321110000 is an abundant number, since it is smaller than the sum of its proper divisors (98597346864).

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

40321110000 is a wasteful number, since it uses less digits than its factorization.

40321110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 40321110000 its reverse (1112304), we get a palindrome (40322222304).

The spelling of 40321110000 in words is "forty billion, three hundred twenty-one million, one hundred ten thousand".