40232423952000 has 1280 divisors, whose sum is σ = 178196410529280. Its totient is φ = 8796111667200.

The previous prime is 40232423951971. The next prime is 40232423952031. The reversal of 40232423952000 is 25932423204.

40232423952000 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 242 + 395 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 208559592 + ... + 208752408.

It is an arithmetic number, because the mean of its divisors is an integer number (139215945726).

Almost surely, 2^{40232423952000} is an apocalyptic number.

40232423952000 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 40232423952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89098205264640).

40232423952000 is an abundant number, since it is smaller than the sum of its proper divisors (137963986577280).

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

40232423952000 is a wasteful number, since it uses less digits than its factorization.

40232423952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192888 (or 192857 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 40232423952000 in words is "forty trillion, two hundred thirty-two billion, four hundred twenty-three million, nine hundred fifty-two thousand".