5410093731840 has 3120 divisors, whose sum is σ = 24730518827520. Its totient is φ = 1123685498880.

The previous prime is 5410093731827. The next prime is 5410093731841. The reversal of 5410093731840 is 481373900145.

5410093731840 is a `hidden beast` number, since 5 + 410 + 0 + 93 + 73 + 1 + 84 + 0 = 666.

It is a super-2 number, since 2×5410093731840² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5410093731841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47876935624 + ... + 47876935736.

Almost surely, 2^{5410093731840} 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 5410093731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12365259413760).

5410093731840 is an abundant number, since it is smaller than the sum of its proper divisors (19320425095680).

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

5410093731840 is a wasteful number, since it uses less digits than its factorization.

5410093731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5410093731840 in words is "five trillion, four hundred ten billion, ninety-three million, seven hundred thirty-one thousand, eight hundred forty".