4121400192 has 512 divisors, whose sum is σ = 14394240000. Its totient is φ = 1036836864.

The previous prime is 4121400187. The next prime is 4121400193. The reversal of 4121400192 is 2910041214.

4121400192 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121400193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49655383 + ... + 49655465.

It is an arithmetic number, because the mean of its divisors is an integer number (28113750).

Almost surely, 2^4121400192 is an apocalyptic number.

4121400192 is a gapful number since it is divisible by the number (42) 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 4121400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120000).

4121400192 is an abundant number, since it is smaller than the sum of its proper divisors (10272839808).

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

4121400192 is a wasteful number, since it uses less digits than its factorization.

4121400192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4121400192 is about 64198.1323092814. The cubic root of 4121400192 is about 1603.3005036575.

The spelling of 4121400192 in words is "four billion, one hundred twenty-one million, four hundred thousand, one hundred ninety-two".