40351893720200 has 144 divisors (see below), whose sum is σ = 96054627703740. Its totient is φ = 15761972736000.

The previous prime is 40351893720143. The next prime is 40351893720221. The reversal of 40351893720200 is 202739815304.

Added to its reverse (202739815304) it gives a square (40554633535504 = 6368252²).

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 5211824175364 + 35140069544836 = 2282942^2 + 5927906^2 .

40351893720200 is a rare 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 35 ways as a sum of consecutive naturals, for example, 148799132 + ... + 149070068.

Almost surely, 2^{40351893720200} is an apocalyptic number.

40351893720200 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 40351893720200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48027313851870).

40351893720200 is an abundant number, since it is smaller than the sum of its proper divisors (55702733983540).

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

40351893720200 is a wasteful number, since it uses less digits than its factorization.

40351893720200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271228 (or 271118 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

Adding to 40351893720200 its reverse (202739815304), we get a square (40554633535504 = 6368252²).

Subtracting from 40351893720200 its reverse (202739815304), we obtain a square (40149153904896 = 6336336²).

The spelling of 40351893720200 in words is "forty trillion, three hundred fifty-one billion, eight hundred ninety-three million, seven hundred twenty thousand, two hundred".