4168538400 has 576 divisors, whose sum is σ = 15759491328. Its totient is φ = 948879360.

The previous prime is 4168538389. The next prime is 4168538453. The reversal of 4168538400 is 48358614.

4168538400 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 is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26551122 + ... + 26551278.

It is an arithmetic number, because the mean of its divisors is an integer number (27360228).

Almost surely, 2^4168538400 is an apocalyptic number.

4168538400 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 4168538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879745664).

4168538400 is an abundant number, since it is smaller than the sum of its proper divisors (11590952928).

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

4168538400 is a wasteful number, since it uses less digits than its factorization.

4168538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4168538400 is about 64564.2191929865. The cubic root of 4168538400 is about 1609.3898900938.

The spelling of 4168538400 in words is "four billion, one hundred sixty-eight million, five hundred thirty-eight thousand, four hundred".