201112023440 has 160 divisors (see below), whose sum is σ = 493628450400. Its totient is φ = 76082872320.

The previous prime is 201112023439. The next prime is 201112023449. The reversal of 201112023440 is 44320211102.

It can be written as a sum of positive squares in 16 ways, for example, as 16940584336 + 184171439104 = 130156^2 + 429152^2 .

It is a super-2 number, since 2×201112023440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (201112023449) 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, 124065830 + ... + 124067450.

It is an arithmetic number, because the mean of its divisors is an integer number (3085177815).

Almost surely, 2^201112023440 is an apocalyptic number.

201112023440 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 201112023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246814225200).

201112023440 is an abundant number, since it is smaller than the sum of its proper divisors (292516426960).

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

201112023440 is a wasteful number, since it uses less digits than its factorization.

201112023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201112023440 its reverse (44320211102), we get a palindrome (245432234542).

The spelling of 201112023440 in words is "two hundred one billion, one hundred twelve million, twenty-three thousand, four hundred forty".