4006219248 has 120 divisors (see below), whose sum is σ = 11334597456. Its totient is φ = 1320883200.

The previous prime is 4006219247. The next prime is 4006219253. The reversal of 4006219248 is 8429126004.

4006219248 is a `hidden beast` number, since 4 + 0 + 0 + 621 + 9 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006219241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7323711 + ... + 7324257.

Almost surely, 2^4006219248 is an apocalyptic number.

4006219248 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 4006219248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667298728).

4006219248 is an abundant number, since it is smaller than the sum of its proper divisors (7328378208).

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

4006219248 is a wasteful number, since it uses less digits than its factorization.

4006219248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4006219248 is about 63294.7015792001. The cubic root of 4006219248 is about 1588.2233293546.

The spelling of 4006219248 in words is "four billion, six million, two hundred nineteen thousand, two hundred forty-eight".