4111920393600 has 384 divisors, whose sum is σ = 14038046820000. Its totient is φ = 1056632012800.

The previous prime is 4111920393577. The next prime is 4111920393643. The reversal of 4111920393600 is 63930291114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145032226 + ... + 145060574.

Almost surely, 2^{4111920393600} is an apocalyptic number.

4111920393600 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 4111920393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019023410000).

4111920393600 is an abundant number, since it is smaller than the sum of its proper divisors (9926126426400).

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

4111920393600 is a wasteful number, since it uses less digits than its factorization.

4111920393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28926 (or 28909 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 4111920393600 in words is "four trillion, one hundred eleven billion, nine hundred twenty million, three hundred ninety-three thousand, six hundred".