4001131011504 has 160 divisors (see below), whose sum is σ = 11655021530880. Its totient is φ = 1172373580800.

The previous prime is 4001131011463. The next prime is 4001131011599. The reversal of 4001131011504 is 4051101311004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847494 + ... + 2953050.

It is an arithmetic number, because the mean of its divisors is an integer number (72843884568).

Almost surely, 2^{4001131011504} is an apocalyptic number.

4001131011504 is a gapful number since it is divisible by the number (44) 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 4001131011504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827510765440).

4001131011504 is an abundant number, since it is smaller than the sum of its proper divisors (7653890519376).

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

4001131011504 is a wasteful number, since it uses less digits than its factorization.

4001131011504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105699 (or 2105693 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 4001131011504 its reverse (4051101311004), we get a palindrome (8052232322508).

The spelling of 4001131011504 in words is "four trillion, one billion, one hundred thirty-one million, eleven thousand, five hundred four".