2403413313240 has 256 divisors, whose sum is σ = 7670383257600. Its totient is φ = 600371380224.

The previous prime is 2403413313233. The next prime is 2403413313277. The reversal of 2403413313240 is 423133143042.

It is a happy number.

2403413313240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2403413313198 and 2403413313207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395750844 + ... + 395756916.

It is an arithmetic number, because the mean of its divisors is an integer number (29962434600).

Almost surely, 2^{2403413313240} is an apocalyptic number.

2403413313240 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 2403413313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835191628800).

2403413313240 is an abundant number, since it is smaller than the sum of its proper divisors (5266969944360).

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

2403413313240 is a wasteful number, since it uses less digits than its factorization.

2403413313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2403413313240 its reverse (423133143042), we get a palindrome (2826546456282).

The spelling of 2403413313240 in words is "two trillion, four hundred three billion, four hundred thirteen million, three hundred thirteen thousand, two hundred forty".