4003017053440 has 144 divisors (see below), whose sum is σ = 9672875815680. Its totient is φ = 1587173253120.

The previous prime is 4003017053437. The next prime is 4003017053447. The reversal of 4003017053440 is 443507103004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003017053447) 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, 68306071 + ... + 68364649.

It is an arithmetic number, because the mean of its divisors is an integer number (67172748720).

Almost surely, 2^{4003017053440} is an apocalyptic number.

4003017053440 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 4003017053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836437907840).

4003017053440 is an abundant number, since it is smaller than the sum of its proper divisors (5669858762240).

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

4003017053440 is a wasteful number, since it uses less digits than its factorization.

4003017053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59068 (or 59054 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 4003017053440 in words is "four trillion, three billion, seventeen million, fifty-three thousand, four hundred forty".