13641863040 has 576 divisors, whose sum is σ = 53537833440. Its totient is φ = 3175907328.

The previous prime is 13641862987. The next prime is 13641863071. The reversal of 13641863040 is 4036814631.

It is a happy number.

13641863040 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 18 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×13641863040² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 13641862986 and 13641863004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153279316 + ... + 153279404.

Almost surely, 2^13641863040 is an apocalyptic number.

13641863040 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 13641863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26768916720).

13641863040 is an abundant number, since it is smaller than the sum of its proper divisors (39895970400).

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

13641863040 is a wasteful number, since it uses less digits than its factorization.

13641863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13641863040 in words is "thirteen billion, six hundred forty-one million, eight hundred sixty-three thousand, forty".