4121296000 has 128 divisors (see below), whose sum is σ = 10310976000. Its totient is φ = 1638169600.

The previous prime is 4121295991. The next prime is 4121296013. The reversal of 4121296000 is 6921214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2863281 + ... + 2864719.

It is an arithmetic number, because the mean of its divisors is an integer number (80554500).

Almost surely, 2^4121296000 is an apocalyptic number.

4121296000 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 4121296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155488000).

4121296000 is an abundant number, since it is smaller than the sum of its proper divisors (6189680000).

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

4121296000 is a wasteful number, since it uses less digits than its factorization.

4121296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 4121296000 is about 64197.3208163705. The cubic root of 4121296000 is about 1603.2869926753.

The spelling of 4121296000 in words is "four billion, one hundred twenty-one million, two hundred ninety-six thousand".