4117425600 has 168 divisors, whose sum is σ = 13796759808. Its totient is φ = 1074560000.

The previous prime is 4117425593. The next prime is 4117425617. The reversal of 4117425600 is 65247114.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216475 + ... + 234725.

Almost surely, 2^4117425600 is an apocalyptic number.

4117425600 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 4117425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898379904).

4117425600 is an abundant number, since it is smaller than the sum of its proper divisors (9679334208).

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

4117425600 is a wasteful number, since it uses less digits than its factorization.

4117425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18323 (or 18308 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4117425600 is about 64167.1691755215. The cubic root of 4117425600 is about 1602.7849414175.

The spelling of 4117425600 in words is "four billion, one hundred seventeen million, four hundred twenty-five thousand, six hundred".