5342457133440 has 1024 divisors, whose sum is σ = 23111180236800. Its totient is φ = 1138513674240.

The previous prime is 5342457133439. The next prime is 5342457133487. The reversal of 5342457133440 is 443317542435.

5342457133440 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 4 + 571 + 3 + 34 + 40 = 666.

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 127 ways as a sum of consecutive naturals, for example, 220014100 + ... + 220038380.

It is an arithmetic number, because the mean of its divisors is an integer number (22569511950).

Almost surely, 2^{5342457133440} 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 5342457133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11555590118400).

5342457133440 is an abundant number, since it is smaller than the sum of its proper divisors (17768723103360).

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

5342457133440 is a wasteful number, since it uses less digits than its factorization.

5342457133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24440 (or 24422 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 5342457133440 in words is "five trillion, three hundred forty-two billion, four hundred fifty-seven million, one hundred thirty-three thousand, four hundred forty".