40028984783200 has 432 divisors, whose sum is σ = 122892158929680. Its totient is φ = 12650484510720.

The previous prime is 40028984783191. The next prime is 40028984783231. The reversal of 40028984783200 is 238748982004.

40028984783200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 26831322 + ... + 28283878.

It is an arithmetic number, because the mean of its divisors is an integer number (284472590115).

Almost surely, 2^{40028984783200} is an apocalyptic number.

40028984783200 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 40028984783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61446079464840).

40028984783200 is an abundant number, since it is smaller than the sum of its proper divisors (82863174146480).

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

40028984783200 is a wasteful number, since it uses less digits than its factorization.

40028984783200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452647 (or 1452627 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 40028984783200 in words is "forty trillion, twenty-eight billion, nine hundred eighty-four million, seven hundred eighty-three thousand, two hundred".