4249278624 has 96 divisors (see below), whose sum is σ = 11653576704. Its totient is φ = 1354141440.

The previous prime is 4249278611. The next prime is 4249278629. The reversal of 4249278624 is 4268729424.

4249278624 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4249278629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238407 + ... + 255609.

It is an arithmetic number, because the mean of its divisors is an integer number (121391424).

Almost surely, 2^4249278624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4249278624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826788352).

4249278624 is an abundant number, since it is smaller than the sum of its proper divisors (7404298080).

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

4249278624 is a wasteful number, since it uses less digits than its factorization.

4249278624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17330 (or 17322 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 4249278624 is about 65186.4911158746. The cubic root of 4249278624 is about 1619.7142492490.

The spelling of 4249278624 in words is "four billion, two hundred forty-nine million, two hundred seventy-eight thousand, six hundred twenty-four".