40221214155440 has 80 divisors (see below), whose sum is σ = 95121625397760. Its totient is φ = 15812088472320.

The previous prime is 40221214155431. The next prime is 40221214155457. The reversal of 40221214155440 is 4455141212204.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40221214155440.

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, 19161527 + ... + 21156713.

It is an arithmetic number, because the mean of its divisors is an integer number (1189020317472).

Almost surely, 2^{40221214155440} is an apocalyptic number.

40221214155440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221214155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47560812698880).

40221214155440 is an abundant number, since it is smaller than the sum of its proper divisors (54900411242320).

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

40221214155440 is a wasteful number, since it uses less digits than its factorization.

40221214155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999530 (or 1999524 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 40221214155440 its reverse (4455141212204), we get a palindrome (44676355367644).

The spelling of 40221214155440 in words is "forty trillion, two hundred twenty-one billion, two hundred fourteen million, one hundred fifty-five thousand, four hundred forty".