4251935047680 has 760 divisors, whose sum is σ = 15781017728520. Its totient is φ = 1093958369280.

The previous prime is 4251935047639. The next prime is 4251935047699. The reversal of 4251935047680 is 867405391524.

It is a happy number.

4251935047680 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 93 + 5 + 0 + 476 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 398534639616 + 3853400408064 = 631296^2 + 1963008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3078880590 + ... + 3078881970.

It is a 1-persistent number, because it is pandigital, but 2⋅4251935047680 = 8503870095360 is not.

Almost surely, 2^{4251935047680} is an apocalyptic number.

4251935047680 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 4251935047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890508864260).

4251935047680 is an abundant number, since it is smaller than the sum of its proper divisors (11529082680840).

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

4251935047680 is an frugal number, since it uses more digits than its factorization.

4251935047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4251935047680 in words is "four trillion, two hundred fifty-one billion, nine hundred thirty-five million, forty-seven thousand, six hundred eighty".