40353114525200 has 120 divisors (see below), whose sum is σ = 97285043849760. Its totient is φ = 16085238220800.

The previous prime is 40353114525167. The next prime is 40353114525203. The reversal of 40353114525200 is 252541135304.

It is not an unprimeable number, because it can be changed into a prime (40353114525203) 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 23 ways as a sum of consecutive naturals, for example, 271008371 + ... + 271157229.

It is an arithmetic number, because the mean of its divisors is an integer number (810708698748).

Almost surely, 2^{40353114525200} is an apocalyptic number.

40353114525200 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 40353114525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48642521924880).

40353114525200 is an abundant number, since it is smaller than the sum of its proper divisors (56931929324560).

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

40353114525200 is a wasteful number, since it uses less digits than its factorization.

40353114525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151225 (or 151214 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 40353114525200 in words is "forty trillion, three hundred fifty-three billion, one hundred fourteen million, five hundred twenty-five thousand, two hundred".