5406186240 has 864 divisors, whose sum is σ = 23998980096. Its totient is φ = 1134673920.

The previous prime is 5406186229. The next prime is 5406186283. The reversal of 5406186240 is 426816045.

5406186240 is a `hidden beast` number, since 5 + 406 + 1 + 8 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 5406186195 and 5406186204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28304545 + ... + 28304735.

Almost surely, 2^5406186240 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 5406186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999490048).

5406186240 is an abundant number, since it is smaller than the sum of its proper divisors (18592793856).

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

5406186240 is a wasteful number, since it uses less digits than its factorization.

5406186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5406186240 is about 73526.7722669777. The cubic root of 5406186240 is about 1755.0803382027.

The spelling of 5406186240 in words is "five billion, four hundred six million, one hundred eighty-six thousand, two hundred forty".