4082300726400 has 1440 divisors, whose sum is σ = 16717759955820. Its totient is φ = 979933593600.

The previous prime is 4082300726393. The next prime is 4082300726423. The reversal of 4082300726400 is 46270032804.

4082300726400 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 3 + 0 + 0 + 7 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 1265301020736 + 2816999705664 = 1124856^2 + 1678392^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1795995664 + ... + 1795997936.

Almost surely, 2^{4082300726400} is an apocalyptic number.

4082300726400 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 4082300726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8358879977910).

4082300726400 is an abundant number, since it is smaller than the sum of its proper divisors (12635459229420).

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

4082300726400 is a wasteful number, since it uses less digits than its factorization.

4082300726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 4082300726400 in words is "four trillion, eighty-two billion, three hundred million, seven hundred twenty-six thousand, four hundred".