221125531440 has 160 divisors (see below), whose sum is σ = 757272960000. Its totient is φ = 52927580160.

The previous prime is 221125531433. The next prime is 221125531441. The reversal of 221125531440 is 44135521122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221125531398 and 221125531407.

It is not an unprimeable number, because it can be changed into a prime (221125531441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321565 + ... + 738684.

It is an arithmetic number, because the mean of its divisors is an integer number (4732956000).

Almost surely, 2^221125531440 is an apocalyptic number.

221125531440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221125531440 is an abundant number, since it is smaller than the sum of its proper divisors (536147428560).

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

221125531440 is a wasteful number, since it uses less digits than its factorization.

221125531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060355 (or 1060349 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 221125531440 in words is "two hundred twenty-one billion, one hundred twenty-five million, five hundred thirty-one thousand, four hundred forty".