5406116436 has 144 divisors (see below), whose sum is σ = 16559961600. Its totient is φ = 1452603456.

The previous prime is 5406116407. The next prime is 5406116437. The reversal of 5406116436 is 6346116045.

It is a happy number.

5406116436 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 1 + 1 + 643 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5406116436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406116437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661471 + ... + 669593.

Almost surely, 2^5406116436 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 5406116436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279980800).

5406116436 is an abundant number, since it is smaller than the sum of its proper divisors (11153845164).

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

5406116436 is a wasteful number, since it uses less digits than its factorization.

5406116436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5406116436 is about 73526.2975812056. The cubic root of 5406116436 is about 1755.0727843776.

The spelling of 5406116436 in words is "five billion, four hundred six million, one hundred sixteen thousand, four hundred thirty-six".