40350853200 has 720 divisors, whose sum is σ = 163657900224. Its totient is φ = 8438169600.

The previous prime is 40350853187. The next prime is 40350853201. The reversal of 40350853200 is 235805304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40350853201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36984655 + ... + 36985745.

Almost surely, 2^40350853200 is an apocalyptic number.

40350853200 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 40350853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81828950112).

40350853200 is an abundant number, since it is smaller than the sum of its proper divisors (123307047024).

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

40350853200 is a wasteful number, since it uses less digits than its factorization.

40350853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 40350853200 in words is "forty billion, three hundred fifty million, eight hundred fifty-three thousand, two hundred".