10403220240 has 240 divisors, whose sum is σ = 40245424128. Its totient is φ = 2359010304.

The previous prime is 10403220211. The next prime is 10403220241. The reversal of 10403220240 is 4202230401.

10403220240 is a `hidden beast` number, since 1 + 0 + 403 + 2 + 20 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (10403220241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631954 + ... + 648206.

Almost surely, 2^10403220240 is an apocalyptic number.

10403220240 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 10403220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122712064).

10403220240 is an abundant number, since it is smaller than the sum of its proper divisors (29842203888).

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

10403220240 is a wasteful number, since it uses less digits than its factorization.

10403220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16406 (or 16397 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10403220240 its reverse (4202230401), we get a palindrome (14605450641).

The spelling of 10403220240 in words is "ten billion, four hundred three million, two hundred twenty thousand, two hundred forty".