4216741956 has 96 divisors (see below), whose sum is σ = 12512532480. Its totient is φ = 1203001632.

The previous prime is 4216741933. The next prime is 4216741979. The reversal of 4216741956 is 6591476124.

It is an interprime number because it is at equal distance from previous prime (4216741933) and next prime (4216741979).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557955 + ... + 565461.

It is an arithmetic number, because the mean of its divisors is an integer number (130338880).

Almost surely, 2^4216741956 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 4216741956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256266240).

4216741956 is an abundant number, since it is smaller than the sum of its proper divisors (8295790524).

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

4216741956 is a wasteful number, since it uses less digits than its factorization.

4216741956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8262 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4216741956 is about 64936.4455140563. The cubic root of 4216741956 is about 1615.5696094510.

The spelling of 4216741956 in words is "four billion, two hundred sixteen million, seven hundred forty-one thousand, nine hundred fifty-six".