8900267221440 has 1176 divisors, whose sum is σ = 38157949014912. Its totient is φ = 1968644321280.

The previous prime is 8900267221381. The next prime is 8900267221463. The reversal of 8900267221440 is 441227620098.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×8900267221440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 354339762 + ... + 354364878.

Almost surely, 2^{8900267221440} is an apocalyptic number.

8900267221440 is a gapful number since it is divisible by the number (80) 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 8900267221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078974507456).

8900267221440 is an abundant number, since it is smaller than the sum of its proper divisors (29257681793472).

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

8900267221440 is a wasteful number, since it uses less digits than its factorization.

8900267221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25197 (or 25165 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 8900267221440 in words is "eight trillion, nine hundred billion, two hundred sixty-seven million, two hundred twenty-one thousand, four hundred forty".