4275300040704 has 1536 divisors, whose sum is σ = 16854805094400. Its totient is φ = 1049155338240.

The previous prime is 4275300040703. The next prime is 4275300040727. The reversal of 4275300040704 is 4070400035724.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4275300040703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11649318729 + ... + 11649319095.

It is an arithmetic number, because the mean of its divisors is an integer number (10973180400).

Almost surely, 2^{4275300040704} is an apocalyptic number.

4275300040704 is a gapful number since it is divisible by the number (44) 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 4275300040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427402547200).

4275300040704 is an abundant number, since it is smaller than the sum of its proper divisors (12579505053696).

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

4275300040704 is an equidigital number, since it uses as much as digits as its factorization.

4275300040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 4275300040704 in words is "four trillion, two hundred seventy-five billion, three hundred million, forty thousand, seven hundred four".