40033232666000 has 160 divisors (see below), whose sum is σ = 110633949474048. Its totient is φ = 13725063091200.

The previous prime is 40033232665997. The next prime is 40033232666027. The reversal of 40033232666000 is 66623233004.

40033232666000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400952084 + ... + 401051916.

Almost surely, 2^{40033232666000} is an apocalyptic number.

40033232666000 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 40033232666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55316974737024).

40033232666000 is an abundant number, since it is smaller than the sum of its proper divisors (70600716808048).

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

40033232666000 is a wasteful number, since it uses less digits than its factorization.

40033232666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128506 (or 128490 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 40033232666000 its reverse (66623233004), we get a palindrome (40099855899004).

The spelling of 40033232666000 in words is "forty trillion, thirty-three billion, two hundred thirty-two million, six hundred sixty-six thousand".