5400743040 has 1152 divisors, whose sum is σ = 24887640960. Its totient is φ = 1094860800.

The previous prime is 5400743021. The next prime is 5400743053. The reversal of 5400743040 is 403470045.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5400742995 and 5400743013.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131725420 + ... + 131725460.

It is an arithmetic number, because the mean of its divisors is an integer number (21603855).

Almost surely, 2^5400743040 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 5400743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443820480).

5400743040 is an abundant number, since it is smaller than the sum of its proper divisors (19486897920).

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

5400743040 is a wasteful number, since it uses less digits than its factorization.

5400743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 5400743040 is about 73489.7478564187. The cubic root of 5400743040 is about 1754.4911082053.

The spelling of 5400743040 in words is "five billion, four hundred million, seven hundred forty-three thousand, forty".