40311223120 has 80 divisors (see below), whose sum is σ = 107361842688. Its totient is φ = 13788840960.

The previous prime is 40311223111. The next prime is 40311223151. The reversal of 40311223120 is 2132211304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 157852 + ... + 324868.

Almost surely, 2^40311223120 is an apocalyptic number.

40311223120 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 40311223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53680921344).

40311223120 is an abundant number, since it is smaller than the sum of its proper divisors (67050619568).

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

40311223120 is a wasteful number, since it uses less digits than its factorization.

40311223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167468 (or 167462 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 40311223120 its reverse (2132211304), we get a palindrome (42443434424).

The spelling of 40311223120 in words is "forty billion, three hundred eleven million, two hundred twenty-three thousand, one hundred twenty".