4001504662144 has 96 divisors (see below), whose sum is σ = 8769907833120. Its totient is φ = 1817293632000.

The previous prime is 4001504662123. The next prime is 4001504662157. The reversal of 4001504662144 is 4412664051004.

It is a happy number.

It is a super-2 number, since 2×4001504662144² (a number of 26 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 17901469 + ... + 18123619.

It is an arithmetic number, because the mean of its divisors is an integer number (91353206595).

Almost surely, 2^{4001504662144} is an apocalyptic number.

4001504662144 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 4001504662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384953916560).

4001504662144 is an abundant number, since it is smaller than the sum of its proper divisors (4768403170976).

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

4001504662144 is a wasteful number, since it uses less digits than its factorization.

4001504662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223350 (or 223327 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 4001504662144 in words is "four trillion, one billion, five hundred four million, six hundred sixty-two thousand, one hundred forty-four".