13844562107040 has 480 divisors, whose sum is σ = 55852851124224. Its totient is φ = 3163728015360.

The previous prime is 13844562106901. The next prime is 13844562107041. The reversal of 13844562107040 is 4070126544831.

13844562107040 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 4 + 562 + 10 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13844562107041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 447869185 + ... + 447900095.

Almost surely, 2^{13844562107040} is an apocalyptic number.

13844562107040 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 13844562107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27926425562112).

13844562107040 is an abundant number, since it is smaller than the sum of its proper divisors (42008289017184).

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

13844562107040 is a wasteful number, since it uses less digits than its factorization.

13844562107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35882 (or 35865 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 13844562107040 in words is "thirteen trillion, eight hundred forty-four billion, five hundred sixty-two million, one hundred seven thousand, forty".