5457738709440 has 672 divisors, whose sum is σ = 20704034507520. Its totient is φ = 1364546912256.

The previous prime is 5457738709429. The next prime is 5457738709471. The reversal of 5457738709440 is 449078377545.

5457738709440 is a `hidden beast` number, since 5 + 4 + 57 + 73 + 8 + 70 + 9 + 440 = 666.

It is a super-2 number, since 2×5457738709440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143292639 + ... + 143330721.

It is an arithmetic number, because the mean of its divisors is an integer number (30809575160).

Almost surely, 2^{5457738709440} 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 5457738709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352017253760).

5457738709440 is an abundant number, since it is smaller than the sum of its proper divisors (15246295798080).

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

5457738709440 is a wasteful number, since it uses less digits than its factorization.

5457738709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38231 (or 38209 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 5457738709440 in words is "five trillion, four hundred fifty-seven billion, seven hundred thirty-eight million, seven hundred nine thousand, four hundred forty".