220631040000 has 1600 divisors, whose sum is σ = 990899685600. Its totient is φ = 47775744000.

The previous prime is 220631039989. The next prime is 220631040001. The reversal of 220631040000 is 40136022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×220631040000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220631040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 11612159991 + ... + 11612160009.

Almost surely, 2^220631040000 is an apocalyptic number.

220631040000 is a gapful number since it is divisible by the number (20) 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 220631040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495449842800).

220631040000 is an abundant number, since it is smaller than the sum of its proper divisors (770268645600).

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

220631040000 is an frugal number, since it uses more digits than its factorization.

220631040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220631040000 its reverse (40136022), we get a palindrome (220671176022).

The spelling of 220631040000 in words is "two hundred twenty billion, six hundred thirty-one million, forty thousand".