40032055224000 has 896 divisors, whose sum is σ = 169927847331840. Its totient is φ = 9150156057600.

The previous prime is 40032055223957. The next prime is 40032055224023. The reversal of 40032055224000 is 42255023004.

It is a happy number.

40032055224000 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 205 + 52 + 2 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 122308567 + ... + 122635433.

Almost surely, 2^{40032055224000} is an apocalyptic number.

40032055224000 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 40032055224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84963923665920).

40032055224000 is an abundant number, since it is smaller than the sum of its proper divisors (129895792107840).

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

40032055224000 is an frugal number, since it uses more digits than its factorization.

40032055224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326922 (or 326884 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 40032055224000 in words is "forty trillion, thirty-two billion, fifty-five million, two hundred twenty-four thousand".