4264825958400 has 624 divisors, whose sum is σ = 17063101177344. Its totient is φ = 917467299840.

The previous prime is 4264825958387. The next prime is 4264825958411. The reversal of 4264825958400 is 48595284624.

4264825958400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36498469 + ... + 36615131.

Almost surely, 2^{4264825958400} is an apocalyptic number.

4264825958400 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 4264825958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531550588672).

4264825958400 is an abundant number, since it is smaller than the sum of its proper divisors (12798275218944).

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

4264825958400 is a wasteful number, since it uses less digits than its factorization.

4264825958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116724 (or 116697 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

It can be divided in two parts, 4264825 and 958400, that added together give a palindrome (5223225).

The spelling of 4264825958400 in words is "four trillion, two hundred sixty-four billion, eight hundred twenty-five million, nine hundred fifty-eight thousand, four hundred".