40313893704200 has 48 divisors (see below), whose sum is σ = 94782946756500. Its totient is φ = 15944371435520.

The previous prime is 40313893704121. The next prime is 40313893704241. The reversal of 40313893704200 is 240739831304.

Added to its reverse (240739831304) it gives a square (40554633535504 = 6368252²).

It can be written as a sum of positive squares in 6 ways, for example, as 1111493667076 + 39202400037124 = 1054274^2 + 6261182^2 .

40313893704200 is a rare number.

It is a super-3 number, since 3×40313893704200³ (a number of 42 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1132394945 + ... + 1132430544.

Almost surely, 2^{40313893704200} is an apocalyptic number.

40313893704200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40313893704200 is an abundant number, since it is smaller than the sum of its proper divisors (54469053052300).

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

40313893704200 is a wasteful number, since it uses less digits than its factorization.

40313893704200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264825594 (or 2264825585 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

Adding to 40313893704200 its reverse (240739831304), we get a square (40554633535504 = 6368252²).

Subtracting from 40313893704200 its reverse (240739831304), we obtain a square (40073153872896 = 6330336²).

The spelling of 40313893704200 in words is "forty trillion, three hundred thirteen billion, eight hundred ninety-three million, seven hundred four thousand, two hundred".