4111991577120 has 384 divisors, whose sum is σ = 14966289160704. Its totient is φ = 929583857664.

The previous prime is 4111991577103. The next prime is 4111991577121. The reversal of 4111991577120 is 217751991114.

It is a happy number.

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 4111991577120.

It is not an unprimeable number, because it can be changed into a prime (4111991577121) 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, 112168714 + ... + 112205366.

It is an arithmetic number, because the mean of its divisors is an integer number (38974711356).

Almost surely, 2^{4111991577120} is an apocalyptic number.

4111991577120 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 4111991577120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483144580352).

4111991577120 is an abundant number, since it is smaller than the sum of its proper divisors (10854297583584).

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

4111991577120 is a wasteful number, since it uses less digits than its factorization.

4111991577120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37044 (or 37036 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 48.

The spelling of 4111991577120 in words is "four trillion, one hundred eleven billion, nine hundred ninety-one million, five hundred seventy-seven thousand, one hundred twenty".