7144668311040 has 480 divisors, whose sum is σ = 26662922526240. Its totient is φ = 1757661954048.

The previous prime is 7144668311003. The next prime is 7144668311059. The reversal of 7144668311040 is 401138664417.

7144668311040 is a `hidden beast` number, since 7 + 1 + 4 + 466 + 83 + 1 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599932606 + ... + 599944514.

It is an arithmetic number, because the mean of its divisors is an integer number (55547755263).

Almost surely, 2^{7144668311040} 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 7144668311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13331461263120).

7144668311040 is an abundant number, since it is smaller than the sum of its proper divisors (19518254215200).

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

7144668311040 is a wasteful number, since it uses less digits than its factorization.

7144668311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13954 (or 13935 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 7144668311040 in words is "seven trillion, one hundred forty-four billion, six hundred sixty-eight million, three hundred eleven thousand, forty".