4117361940 has 144 divisors (see below), whose sum is σ = 13224556800. Its totient is φ = 1034014464.

The previous prime is 4117361933. The next prime is 4117361947. The reversal of 4117361940 is 491637114.

It is an interprime number because it is at equal distance from previous prime (4117361933) and next prime (4117361947).

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

It is a junction number, because it is equal to n+sod(n) for n = 4117361895 and 4117361904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117361947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588181 + ... + 595139.

It is an arithmetic number, because the mean of its divisors is an integer number (91837200).

Almost surely, 2^4117361940 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 4117361940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612278400).

4117361940 is an abundant number, since it is smaller than the sum of its proper divisors (9107194860).

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

4117361940 is a wasteful number, since it uses less digits than its factorization.

4117361940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4117361940 is about 64166.6731255408. The cubic root of 4117361940 is about 1602.7766810930.

The spelling of 4117361940 in words is "four billion, one hundred seventeen million, three hundred sixty-one thousand, nine hundred forty".