4116949536 has 192 divisors, whose sum is σ = 12749184000. Its totient is φ = 1138959360.

The previous prime is 4116949519. The next prime is 4116949541. The reversal of 4116949536 is 6359496114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745715 + ... + 2747213.

It is an arithmetic number, because the mean of its divisors is an integer number (66402000).

Almost surely, 2^4116949536 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 4116949536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592000).

4116949536 is an abundant number, since it is smaller than the sum of its proper divisors (8632234464).

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

4116949536 is a wasteful number, since it uses less digits than its factorization.

4116949536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 4116949536 is about 64163.4595077292. The cubic root of 4116949536 is about 1602.7231667640.

The spelling of 4116949536 in words is "four billion, one hundred sixteen million, nine hundred forty-nine thousand, five hundred thirty-six".