13485621240 has 768 divisors, whose sum is σ = 57028608000. Its totient is φ = 2743372800.

The previous prime is 13485621239. The next prime is 13485621283. The reversal of 13485621240 is 4212658431.

It is a happy number.

13485621240 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 5 + 621 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13485621195 and 13485621204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49762305 + ... + 49762575.

It is an arithmetic number, because the mean of its divisors is an integer number (74256000).

Almost surely, 2^13485621240 is an apocalyptic number.

13485621240 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 13485621240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28514304000).

13485621240 is an abundant number, since it is smaller than the sum of its proper divisors (43542986760).

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

13485621240 is a wasteful number, since it uses less digits than its factorization.

13485621240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13485621240 in words is "thirteen billion, four hundred eighty-five million, six hundred twenty-one thousand, two hundred forty".