5400335133440 has 432 divisors, whose sum is σ = 14359251811968. Its totient is φ = 1944163713024.

The previous prime is 5400335133437. The next prime is 5400335133497. The reversal of 5400335133440 is 443315330045.

It is a self number, because there is not a number n which added to its sum of digits gives 5400335133440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3182282672 + ... + 3182284368.

It is an arithmetic number, because the mean of its divisors is an integer number (33239008824).

Almost surely, 2^{5400335133440} 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 5400335133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179625905984).

5400335133440 is an abundant number, since it is smaller than the sum of its proper divisors (8958916678528).

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

5400335133440 is a wasteful number, since it uses less digits than its factorization.

5400335133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

The spelling of 5400335133440 in words is "five trillion, four hundred billion, three hundred thirty-five million, one hundred thirty-three thousand, four hundred forty".