4219829640 has 192 divisors, whose sum is σ = 14884309440. Its totient is φ = 1030648320.

The previous prime is 4219829611. The next prime is 4219829699. The reversal of 4219829640 is 469289124.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609639 + ... + 616521.

It is an arithmetic number, because the mean of its divisors is an integer number (77522445).

Almost surely, 2^4219829640 is an apocalyptic number.

4219829640 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 4219829640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442154720).

4219829640 is an abundant number, since it is smaller than the sum of its proper divisors (10664479800).

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

4219829640 is a wasteful number, since it uses less digits than its factorization.

4219829640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4219829640 is about 64960.2158247646. The cubic root of 4219829640 is about 1615.9638436262.

The spelling of 4219829640 in words is "four billion, two hundred nineteen million, eight hundred twenty-nine thousand, six hundred forty".