40333233233304 has 384 divisors, whose sum is σ = 128512338739200. Its totient is φ = 11306977920000.

The previous prime is 40333233233287. The next prime is 40333233233309.

40333233233304 is a `hidden beast` number, since 4 + 0 + 3 + 3 + 3 + 23 + 323 + 3 + 304 = 666.

40333233233304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40333233233309) 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 95 ways as a sum of consecutive naturals, for example, 71632377 + ... + 72193239.

It is an arithmetic number, because the mean of its divisors is an integer number (334667548800).

Almost surely, 2^{40333233233304} is an apocalyptic number.

40333233233304 is a gapful number since it is divisible by the number (44) 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 40333233233304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64256169369600).

40333233233304 is an abundant number, since it is smaller than the sum of its proper divisors (88179105505896).

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

40333233233304 is a wasteful number, since it uses less digits than its factorization.

40333233233304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561047 (or 561040 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 36.

It can be divided in two parts, 4033323 and 3233304, that added together give a palindrome (7266627).

The spelling of 40333233233304 in words is "forty trillion, three hundred thirty-three billion, two hundred thirty-three million, two hundred thirty-three thousand, three hundred four".