40238264200320 has 384 divisors, whose sum is σ = 145528084166400. Its totient is φ = 10225509212160.

The previous prime is 40238264200307. The next prime is 40238264200327. The reversal of 40238264200320 is 2300246283204.

40238264200320 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 8 + 2 + 642 + 0 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (40238264200327) 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 47 ways as a sum of consecutive naturals, for example, 35072565 + ... + 36201675.

It is an arithmetic number, because the mean of its divisors is an integer number (378979385850).

Almost surely, 2^{40238264200320} is an apocalyptic number.

40238264200320 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 40238264200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72764042083200).

40238264200320 is an abundant number, since it is smaller than the sum of its proper divisors (105289819966080).

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

40238264200320 is a wasteful number, since it uses less digits than its factorization.

40238264200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129428 (or 1129413 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 40238264200320 in words is "forty trillion, two hundred thirty-eight billion, two hundred sixty-four million, two hundred thousand, three hundred twenty".