40211224400 has 60 divisors (see below), whose sum is σ = 98191255164. Its totient is φ = 15820800000.

The previous prime is 40211224357. The next prime is 40211224421. The reversal of 40211224400 is 442211204.

It can be written as a sum of positive squares in 6 ways, for example, as 15334364224 + 24876860176 = 123832^2 + 157724^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 799601 + ... + 848400.

Almost surely, 2^40211224400 is an apocalyptic number.

40211224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40211224400 is an abundant number, since it is smaller than the sum of its proper divisors (57980030764).

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

40211224400 is a wasteful number, since it uses less digits than its factorization.

40211224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648080 (or 1648069 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 40211224400 its reverse (442211204), we get a palindrome (40653435604).

The spelling of 40211224400 in words is "forty billion, two hundred eleven million, two hundred twenty-four thousand, four hundred".