40222224400440 has 64 divisors (see below), whose sum is σ = 123234049244160. Its totient is φ = 10497715303040.

The previous prime is 40222224400417. The next prime is 40222224400453. The reversal of 40222224400440 is 4400442222204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40222224400398 and 40222224400407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3565794396 + ... + 3565805675.

It is an arithmetic number, because the mean of its divisors is an integer number (1925532019440).

Almost surely, 2^{40222224400440} is an apocalyptic number.

40222224400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40222224400440 is an abundant number, since it is smaller than the sum of its proper divisors (83011824843720).

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

40222224400440 is a wasteful number, since it uses less digits than its factorization.

40222224400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131600132 (or 7131600128 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 40222224400440 its reverse (4400442222204), we get a palindrome (44622666622644).

The spelling of 40222224400440 in words is "forty trillion, two hundred twenty-two billion, two hundred twenty-four million, four hundred thousand, four hundred forty".