13202415431040 has 128 divisors (see below), whose sum is σ = 45908399185920. Its totient is φ = 3200585553920.

The previous prime is 13202415431003. The next prime is 13202415431053. The reversal of 13202415431040 is 4013451420231.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 13202415430989 and 13202415431007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312536064 + ... + 312578303.

It is an arithmetic number, because the mean of its divisors is an integer number (358659368640).

Almost surely, 2^{13202415431040} is an apocalyptic number.

13202415431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13202415431040 is an abundant number, since it is smaller than the sum of its proper divisors (32705983754880).

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

13202415431040 is a wasteful number, since it uses less digits than its factorization.

13202415431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625114400 (or 625114388 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13202415431040 its reverse (4013451420231), we get a palindrome (17215866851271).

The spelling of 13202415431040 in words is "thirteen trillion, two hundred two billion, four hundred fifteen million, four hundred thirty-one thousand, forty".