4217049622272 has 144 divisors (see below), whose sum is σ = 11315368415232. Its totient is φ = 1394184314880.

The previous prime is 4217049622259. The next prime is 4217049622277. The reversal of 4217049622272 is 2722269407124.

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 (4217049622277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539467708 + ... + 539475524.

It is an arithmetic number, because the mean of its divisors is an integer number (78578947328).

Almost surely, 2^{4217049622272} 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 4217049622272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657684207616).

4217049622272 is an abundant number, since it is smaller than the sum of its proper divisors (7098318792960).

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

4217049622272 is a wasteful number, since it uses less digits than its factorization.

4217049622272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13494 (or 13480 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 4217049622272 in words is "four trillion, two hundred seventeen billion, forty-nine million, six hundred twenty-two thousand, two hundred seventy-two".