4075251682320 has 2400 divisors, whose sum is σ = 18376009797600. Its totient is φ = 807746494464.

The previous prime is 4075251682279. The next prime is 4075251682321. The reversal of 4075251682320 is 232861525704.

4075251682320 is a `hidden beast` number, since 4 + 0 + 7 + 52 + 516 + 82 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3547059956496 + 528191725824 = 1883364^2 + 726768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075251682321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 110141937342 + ... + 110141937378.

It is an arithmetic number, because the mean of its divisors is an integer number (7656670749).

Almost surely, 2^{4075251682320} is an apocalyptic number.

4075251682320 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 4075251682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9188004898800).

4075251682320 is an abundant number, since it is smaller than the sum of its proper divisors (14300758115280).

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

4075251682320 is a wasteful number, since it uses less digits than its factorization.

4075251682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4075251682320 in words is "four trillion, seventy-five billion, two hundred fifty-one million, six hundred eighty-two thousand, three hundred twenty".