40221120400 has 30 divisors (see below), whose sum is σ = 96631242722. Its totient is φ = 16088448000.

The previous prime is 40221120397. The next prime is 40221120409. The reversal of 40221120400 is 402112204.

It can be written as a sum of positive squares in 3 ways, for example, as 72182016 + 40148938384 = 8496^2 + 200372^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40221120409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50276001 + ... + 50276800.

Almost surely, 2^40221120400 is an apocalyptic number.

40221120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40221120400 is an abundant number, since it is smaller than the sum of its proper divisors (56410122322).

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

40221120400 is a wasteful number, since it uses less digits than its factorization.

40221120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100552819 (or 100552808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 40221120400 its reverse (402112204), we get a palindrome (40623232604).

The spelling of 40221120400 in words is "forty billion, two hundred twenty-one million, one hundred twenty thousand, four hundred".