4248019776 has 672 divisors, whose sum is σ = 16271345664. Its totient is φ = 942796800.

The previous prime is 4248019759. The next prime is 4248019777. The reversal of 4248019776 is 6779108424.

4248019776 is digitally balanced in base 2, because in such base 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 (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248019777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137032881 + ... + 137032911.

It is an arithmetic number, because the mean of its divisors is an integer number (24213312).

Almost surely, 2^4248019776 is an apocalyptic number.

4248019776 is a gapful number since it is divisible by the number (46) 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 4248019776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135672832).

4248019776 is an abundant number, since it is smaller than the sum of its proper divisors (12023325888).

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

4248019776 is a wasteful number, since it uses less digits than its factorization.

4248019776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 4248019776 is about 65176.8346577218. The cubic root of 4248019776 is about 1619.5542867703.

The spelling of 4248019776 in words is "four billion, two hundred forty-eight million, nineteen thousand, seven hundred seventy-six".