223901627040 has 1728 divisors, whose sum is σ = 1044653500800. Its totient is φ = 43113627648.

The previous prime is 223901627039. The next prime is 223901627083. The reversal of 223901627040 is 40726109322.

223901627040 is a `hidden beast` number, since 2 + 2 + 390 + 162 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223901626986 and 223901627004.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 505421059 + ... + 505421501.

It is an arithmetic number, because the mean of its divisors is an integer number (604544850).

Almost surely, 2^223901627040 is an apocalyptic number.

223901627040 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 223901627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522326750400).

223901627040 is an abundant number, since it is smaller than the sum of its proper divisors (820751873760).

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

223901627040 is a wasteful number, since it uses less digits than its factorization.

223901627040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 223901627040 in words is "two hundred twenty-three billion, nine hundred one million, six hundred twenty-seven thousand, forty".