5406004032 has 448 divisors, whose sum is σ = 18174858240. Its totient is φ = 1393459200.

The previous prime is 5406004031. The next prime is 5406004129. The reversal of 5406004032 is 2304006045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5406003993 and 5406004011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406004031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22431432 + ... + 22431672.

It is an arithmetic number, because the mean of its divisors is an integer number (40568880).

Almost surely, 2^5406004032 is an apocalyptic number.

5406004032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087429120).

5406004032 is an abundant number, since it is smaller than the sum of its proper divisors (12768854208).

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

5406004032 is a wasteful number, since it uses less digits than its factorization.

5406004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5406004032 is about 73525.5331976586. The cubic root of 5406004032 is about 1755.0606204659.

The spelling of 5406004032 in words is "five billion, four hundred six million, four thousand, thirty-two".