4113901693440 has 2880 divisors, whose sum is σ = 19472902225920. Its totient is φ = 777550233600.

The previous prime is 4113901693417. The next prime is 4113901693463. The reversal of 4113901693440 is 443961093114.

4113901693440 is a `hidden beast` number, since 4 + 11 + 39 + 0 + 169 + 3 + 440 = 666.

4113901693440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4113901693417) and next prime (4113901693463).

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32392926657 + ... + 32392926783.

It is an arithmetic number, because the mean of its divisors is an integer number (6761424384).

Almost surely, 2^{4113901693440} is an apocalyptic number.

4113901693440 is a gapful number since it is divisible by the number (40) 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 4113901693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736451112960).

4113901693440 is an abundant number, since it is smaller than the sum of its proper divisors (15359000532480).

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

4113901693440 is a wasteful number, since it uses less digits than its factorization.

4113901693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 4113901693440 in words is "four trillion, one hundred thirteen billion, nine hundred one million, six hundred ninety-three thousand, four hundred forty".