5400402061824 has 1440 divisors, whose sum is σ = 20336171169600. Its totient is φ = 1363773358080.

The previous prime is 5400402061781. The next prime is 5400402061829. The reversal of 5400402061824 is 4281602040045.

5400402061824 is a `hidden beast` number, since 5 + 400 + 40 + 206 + 1 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5400402061829) 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 143 ways as a sum of consecutive naturals, for example, 20075843962 + ... + 20075844230.

It is an arithmetic number, because the mean of its divisors is an integer number (14122341090).

Almost surely, 2^{5400402061824} 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 5400402061824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10168085584800).

5400402061824 is an abundant number, since it is smaller than the sum of its proper divisors (14935769107776).

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

5400402061824 is a wasteful number, since it uses less digits than its factorization.

5400402061824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 5400402061824 in words is "five trillion, four hundred billion, four hundred two million, sixty-one thousand, eight hundred twenty-four".