40311300200 has 72 divisors (see below), whose sum is σ = 96325963650. Its totient is φ = 15688615680.

The previous prime is 40311300193. The next prime is 40311300229. The reversal of 40311300200 is 200311304.

It can be written as a sum of positive squares in 9 ways, for example, as 23225150404 + 17086149796 = 152398^2 + 130714^2 .

It is a super-3 number, since 3×40311300200³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 200186 + ... + 347414.

Almost surely, 2^40311300200 is an apocalyptic number.

40311300200 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 40311300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48162981825).

40311300200 is an abundant number, since it is smaller than the sum of its proper divisors (56014663450).

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

40311300200 is a wasteful number, since it uses less digits than its factorization.

40311300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147319 (or 147273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 40311300200 its reverse (200311304), we get a palindrome (40511611504).

The spelling of 40311300200 in words is "forty billion, three hundred eleven million, three hundred thousand, two hundred".