4213502496 has 384 divisors, whose sum is σ = 15049359360. Its totient is φ = 1119522816.

The previous prime is 4213502459. The next prime is 4213502507. The reversal of 4213502496 is 6942053124.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4213502496.

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, 11001121 + ... + 11001503.

It is an arithmetic number, because the mean of its divisors is an integer number (39191040).

Almost surely, 2^4213502496 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 4213502496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524679680).

4213502496 is an abundant number, since it is smaller than the sum of its proper divisors (10835856864).

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

4213502496 is a wasteful number, since it uses less digits than its factorization.

4213502496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4213502496 is about 64911.4974099350. The cubic root of 4213502496 is about 1615.1557896534.

The spelling of 4213502496 in words is "four billion, two hundred thirteen million, five hundred two thousand, four hundred ninety-six".