4117610640 has 360 divisors, whose sum is σ = 15210901440. Its totient is φ = 920325120.

The previous prime is 4117610633. The next prime is 4117610657. The reversal of 4117610640 is 460167114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4117610598 and 4117610607.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4907341 + ... + 4908179.

It is an arithmetic number, because the mean of its divisors is an integer number (42252504).

Almost surely, 2^4117610640 is an apocalyptic number.

4117610640 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 4117610640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605450720).

4117610640 is an abundant number, since it is smaller than the sum of its proper divisors (11093290800).

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

4117610640 is a wasteful number, since it uses less digits than its factorization.

4117610640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4117610640 is about 64168.6110181606. The cubic root of 4117610640 is about 1602.8089511517.

Adding to 4117610640 its reverse (460167114), we get a palindrome (4577777754).

The spelling of 4117610640 in words is "four billion, one hundred seventeen million, six hundred ten thousand, six hundred forty".