4294251272448 has 576 divisors, whose sum is σ = 13264899379200. Its totient is φ = 1386578995200.

The previous prime is 4294251272419. The next prime is 4294251272483. The reversal of 4294251272448 is 8442721524924.

4294251272448 is a `hidden beast` number, since 4 + 29 + 42 + 512 + 7 + 24 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 4294251272394 and 4294251272403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2345302893 + ... + 2345304723.

It is an arithmetic number, because the mean of its divisors is an integer number (23029339200).

Almost surely, 2^{4294251272448} is an apocalyptic number.

4294251272448 is a gapful number since it is divisible by the number (48) 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 4294251272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632449689600).

4294251272448 is an abundant number, since it is smaller than the sum of its proper divisors (8970648106752).

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

4294251272448 is an frugal number, since it uses more digits than its factorization.

4294251272448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1966 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 4294251272448 in words is "four trillion, two hundred ninety-four billion, two hundred fifty-one million, two hundred seventy-two thousand, four hundred forty-eight".