40221232211440 has 80 divisors (see below), whose sum is σ = 106874545305600. Its totient is φ = 13790009606400.

The previous prime is 40221232211437. The next prime is 40221232211467. The reversal of 40221232211440 is 4411223212204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40221232211399 and 40221232211408.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76261761 + ... + 76787359.

It is an arithmetic number, because the mean of its divisors is an integer number (1335931816320).

Almost surely, 2^{40221232211440} is an apocalyptic number.

40221232211440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40221232211440 is an abundant number, since it is smaller than the sum of its proper divisors (66653313094160).

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

40221232211440 is a wasteful number, since it uses less digits than its factorization.

40221232211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662270 (or 662264 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 40221232211440 its reverse (4411223212204), we get a palindrome (44632455423644).

The spelling of 40221232211440 in words is "forty trillion, two hundred twenty-one billion, two hundred thirty-two million, two hundred eleven thousand, four hundred forty".