4160013782400 has 576 divisors, whose sum is σ = 17094045196800. Its totient is φ = 943595827200.

The previous prime is 4160013782363. The next prime is 4160013782429. The reversal of 4160013782400 is 42873100614.

4160013782400 is a `hidden beast` number, since 4 + 1 + 600 + 1 + 3 + 7 + 8 + 2 + 40 + 0 = 666.

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

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

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, 26330841 + ... + 26488359.

It is an arithmetic number, because the mean of its divisors is an integer number (29677161800).

Almost surely, 2^{4160013782400} is an apocalyptic number.

4160013782400 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 4160013782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547022598400).

4160013782400 is an abundant number, since it is smaller than the sum of its proper divisors (12934031414400).

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

4160013782400 is a wasteful number, since it uses less digits than its factorization.

4160013782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157687 (or 157667 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 416001 and 3782400, that added together give a square (4198401 = 2049²).

The spelling of 4160013782400 in words is "four trillion, one hundred sixty billion, thirteen million, seven hundred eighty-two thousand, four hundred".