4117621248 has 120 divisors (see below), whose sum is σ = 12798053268. Its totient is φ = 1266941952.

The previous prime is 4117621247. The next prime is 4117621273. The reversal of 4117621248 is 8421267114.

It is a happy number.

4117621248 is a `hidden beast` number, since 4 + 1 + 1 + 7 + 621 + 24 + 8 = 666.

4117621248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3768977664 + 348643584 = 61392^2 + 18672^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4117621243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25536 + ... + 94272.

Almost surely, 2^4117621248 is an apocalyptic number.

4117621248 is a gapful number since it is divisible by the number (48) 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 4117621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399026634).

4117621248 is an abundant number, since it is smaller than the sum of its proper divisors (8680432020).

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

4117621248 is a wasteful number, since it uses less digits than its factorization.

4117621248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68774 (or 68755 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4117621248 is about 64168.6936753430. The cubic root of 4117621248 is about 1602.8103275635.

The spelling of 4117621248 in words is "four billion, one hundred seventeen million, six hundred twenty-one thousand, two hundred forty-eight".