5385556440 has 192 divisors, whose sum is σ = 19135452960. Its totient is φ = 1302773760.

The previous prime is 5385556427. The next prime is 5385556459. The reversal of 5385556440 is 446555835.

5385556440 is a `hidden beast` number, since 5 + 3 + 85 + 5 + 564 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283742 + ... + 2286098.

Almost surely, 2^5385556440 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 5385556440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9567726480).

5385556440 is an abundant number, since it is smaller than the sum of its proper divisors (13749896520).

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

5385556440 is a wasteful number, since it uses less digits than its factorization.

5385556440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The square root of 5385556440 is about 73386.3505019837. The cubic root of 5385556440 is about 1752.8450527092.

The spelling of 5385556440 in words is "five billion, three hundred eighty-five million, five hundred fifty-six thousand, four hundred forty".