4111597045920 has 1536 divisors, whose sum is σ = 17540028334080. Its totient is φ = 784713646080.

The previous prime is 4111597045883. The next prime is 4111597045931. The reversal of 4111597045920 is 295407951114.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4111597045920.

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 255 ways as a sum of consecutive naturals, for example, 9281257219 + ... + 9281257661.

It is an arithmetic number, because the mean of its divisors is an integer number (11419289280).

Almost surely, 2^{4111597045920} is an apocalyptic number.

4111597045920 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 4111597045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770014167040).

4111597045920 is an abundant number, since it is smaller than the sum of its proper divisors (13428431288160).

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

4111597045920 is a wasteful number, since it uses less digits than its factorization.

4111597045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 4111597045920 in words is "four trillion, one hundred eleven billion, five hundred ninety-seven million, forty-five thousand, nine hundred twenty".