4117478400 has 1056 divisors, whose sum is σ = 18519290880. Its totient is φ = 875888640.

The previous prime is 4117478399. The next prime is 4117478401. The reversal of 4117478400 is 48747114.

4117478400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4117478399) and next prime (4117478401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117478401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111283182 + ... + 111283218.

Almost surely, 2^4117478400 is an apocalyptic number.

4117478400 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 4117478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259645440).

4117478400 is an abundant number, since it is smaller than the sum of its proper divisors (14401812480).

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

4117478400 is a wasteful number, since it uses less digits than its factorization.

4117478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4117478400 is about 64167.5805995520. The cubic root of 4117478400 is about 1602.7917925175.

The spelling of 4117478400 in words is "four billion, one hundred seventeen million, four hundred seventy-eight thousand, four hundred".