4001040010744 has 64 divisors (see below), whose sum is σ = 8687489840640. Its totient is φ = 1692082569600.

The previous prime is 4001040010741. The next prime is 4001040010817. The reversal of 4001040010744 is 4470100401004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001040010741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406794 + ... + 2857894.

It is an arithmetic number, because the mean of its divisors is an integer number (135742028760).

Almost surely, 2^{4001040010744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001040010744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343744920320).

4001040010744 is an abundant number, since it is smaller than the sum of its proper divisors (4686449829896).

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

4001040010744 is a wasteful number, since it uses less digits than its factorization.

4001040010744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451500 (or 2451496 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

Adding to 4001040010744 its reverse (4470100401004), we get a palindrome (8471140411748).

The spelling of 4001040010744 in words is "four trillion, one billion, forty million, ten thousand, seven hundred forty-four".