40233262320 has 120 divisors (see below), whose sum is σ = 135216010800. Its totient is φ = 10720985088.

The previous prime is 40233262283. The next prime is 40233262327. The reversal of 40233262320 is 2326233204.

40233262320 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 32 + 623 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40233262327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 994651 + ... + 1034309.

It is an arithmetic number, because the mean of its divisors is an integer number (1126800090).

Almost surely, 2^40233262320 is an apocalyptic number.

40233262320 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 40233262320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67608005400).

40233262320 is an abundant number, since it is smaller than the sum of its proper divisors (94982748480).

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

40233262320 is a wasteful number, since it uses less digits than its factorization.

40233262320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41087 (or 41078 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 40233262320 its reverse (2326233204), we get a palindrome (42559495524).

The spelling of 40233262320 in words is "forty billion, two hundred thirty-three million, two hundred sixty-two thousand, three hundred twenty".