40343357683200 has 2160 divisors, whose sum is σ = 160794439122240. Its totient is φ = 8904705638400.

The previous prime is 40343357683163. The next prime is 40343357683219. The reversal of 40343357683200 is 238675334304.

It is a super-2 number, since 2×40343357683200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40343357683200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 65175052491 + ... + 65175053109.

It is an arithmetic number, because the mean of its divisors is an integer number (74441869964).

Almost surely, 2^{40343357683200} is an apocalyptic number.

40343357683200 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 40343357683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80397219561120).

40343357683200 is an abundant number, since it is smaller than the sum of its proper divisors (120451081439040).

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

40343357683200 is a wasteful number, since it uses less digits than its factorization.

40343357683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 40343357683200 in words is "forty trillion, three hundred forty-three billion, three hundred fifty-seven million, six hundred eighty-three thousand, two hundred".