4415631220000 has 720 divisors, whose sum is σ = 14696670010176. Its totient is φ = 1270368000000.

The previous prime is 4415631219953. The next prime is 4415631220009. The reversal of 4415631220000 is 221365144.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4415631220009) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 220209975 + ... + 220230025.

Almost surely, 2^{4415631220000} is an apocalyptic number.

4415631220000 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 4415631220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348335005088).

4415631220000 is an abundant number, since it is smaller than the sum of its proper divisors (10281038790176).

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

4415631220000 is a wasteful number, since it uses less digits than its factorization.

4415631220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20123 (or 20089 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 4415631220000 its reverse (221365144), we get a palindrome (4415852585144).

The spelling of 4415631220000 in words is "four trillion, four hundred fifteen billion, six hundred thirty-one million, two hundred twenty thousand".