4117621680 has 240 divisors, whose sum is σ = 14863271904. Its totient is φ = 1017815040.

The previous prime is 4117621679. The next prime is 4117621691. The reversal of 4117621680 is 861267114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 817570 + ... + 822590.

Almost surely, 2^4117621680 is an apocalyptic number.

4117621680 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 4117621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431635952).

4117621680 is an abundant number, since it is smaller than the sum of its proper divisors (10745650224).

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

4117621680 is a wasteful number, since it uses less digits than its factorization.

4117621680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4117621680 is about 64168.6970414703. The cubic root of 4117621680 is about 1602.8103836164.

Adding to 4117621680 its reverse (861267114), we get a palindrome (4978888794).

The spelling of 4117621680 in words is "four billion, one hundred seventeen million, six hundred twenty-one thousand, six hundred eighty".