5704273117440 has 576 divisors, whose sum is σ = 20954839449600. Its totient is φ = 1467871027200.

The previous prime is 5704273117429. The next prime is 5704273117463. The reversal of 5704273117440 is 447113724075.

5704273117440 is a `hidden beast` number, since 5 + 70 + 4 + 27 + 3 + 117 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384610825 + ... + 384625655.

It is an arithmetic number, because the mean of its divisors is an integer number (36379929600).

Almost surely, 2^{5704273117440} 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 5704273117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10477419724800).

5704273117440 is an abundant number, since it is smaller than the sum of its proper divisors (15250566332160).

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

5704273117440 is a wasteful number, since it uses less digits than its factorization.

5704273117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15251 (or 15231 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 5704273117440 in words is "five trillion, seven hundred four billion, two hundred seventy-three million, one hundred seventeen thousand, four hundred forty".