4911217920 has 720 divisors, whose sum is σ = 20585271168. Its totient is φ = 1094860800.

The previous prime is 4911217919. The next prime is 4911217921. The reversal of 4911217920 is 297121194.

It is an interprime number because it is at equal distance from previous prime (4911217919) and next prime (4911217921).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4911217920² = 48240122915458252800, which contains 22 as substring.

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 (4911217921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48625870 + ... + 48625970.

Almost surely, 2^4911217920 is an apocalyptic number.

4911217920 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 4911217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10292635584).

4911217920 is an abundant number, since it is smaller than the sum of its proper divisors (15674053248).

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

4911217920 is a wasteful number, since it uses less digits than its factorization.

4911217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 4911217920 is about 70080.0821917326. The cubic root of 4911217920 is about 1699.7944295833.

The spelling of 4911217920 in words is "four billion, nine hundred eleven million, two hundred seventeen thousand, nine hundred twenty".