5409051480 has 256 divisors, whose sum is σ = 21691008000. Its totient is φ = 1171252224.

The previous prime is 5409051469. The next prime is 5409051503. The reversal of 5409051480 is 841509045.

5409051480 is a `hidden beast` number, since 5 + 40 + 90 + 51 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124812 + ... + 162468.

It is an arithmetic number, because the mean of its divisors is an integer number (84730500).

Almost surely, 2^5409051480 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 5409051480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10845504000).

5409051480 is an abundant number, since it is smaller than the sum of its proper divisors (16281956520).

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

5409051480 is a wasteful number, since it uses less digits than its factorization.

5409051480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37703 (or 37693 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5409051480 is about 73546.2540174549. The cubic root of 5409051480 is about 1755.3903434467.

It can be divided in two parts, 54090 and 51480, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 5409051480 in words is "five billion, four hundred nine million, fifty-one thousand, four hundred eighty".