4112376791040 has 2592 divisors, whose sum is σ = 18796986883584. Its totient is φ = 856141332480.

The previous prime is 4112376790993. The next prime is 4112376791059. The reversal of 4112376791040 is 401976732114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132657315825 + ... + 132657315855.

It is an arithmetic number, because the mean of its divisors is an integer number (7251923952).

Almost surely, 2^{4112376791040} is an apocalyptic number.

4112376791040 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 4112376791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398493441792).

4112376791040 is an abundant number, since it is smaller than the sum of its proper divisors (14684610092544).

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

4112376791040 is an frugal number, since it uses more digits than its factorization.

4112376791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 4112376791040 in words is "four trillion, one hundred twelve billion, three hundred seventy-six million, seven hundred ninety-one thousand, forty".