1233520440240 has 160 divisors (see below), whose sum is σ = 4172638148352. Its totient is φ = 298956672000.

The previous prime is 1233520440209. The next prime is 1233520440241. The reversal of 1233520440240 is 420440253321.

It is a super-2 number, since 2×1233520440240² (a number of 25 digits) contains 22 as substring.

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 = 1233520440198 and 1233520440207.

It is not an unprimeable number, because it can be changed into a prime (1233520440241) 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, 10318410 + ... + 10437270.

Almost surely, 2^{1233520440240} is an apocalyptic number.

1233520440240 is a gapful number since it is divisible by the number (10) 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 1233520440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086319074176).

1233520440240 is an abundant number, since it is smaller than the sum of its proper divisors (2939117708112).

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

1233520440240 is a wasteful number, since it uses less digits than its factorization.

1233520440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122819 (or 122813 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1233520440240 its reverse (420440253321), we get a palindrome (1653960693561).

The spelling of 1233520440240 in words is "one trillion, two hundred thirty-three billion, five hundred twenty million, four hundred forty thousand, two hundred forty".