4121944512 has 448 divisors, whose sum is σ = 13982760960. Its totient is φ = 1045094400.

The previous prime is 4121944501. The next prime is 4121944577. The reversal of 4121944512 is 2154491214.

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (11520) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32456193 + ... + 32456319.

It is an arithmetic number, because the mean of its divisors is an integer number (31211520).

Almost surely, 2^4121944512 is an apocalyptic number.

4121944512 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 4121944512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991380480).

4121944512 is an abundant number, since it is smaller than the sum of its proper divisors (9860816448).

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

4121944512 is a wasteful number, since it uses less digits than its factorization.

4121944512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 4121944512 is about 64202.3715449827. The cubic root of 4121944512 is about 1603.3710840486.

The spelling of 4121944512 in words is "four billion, one hundred twenty-one million, nine hundred forty-four thousand, five hundred twelve".