5362381440 has 640 divisors, whose sum is σ = 21097414800. Its totient is φ = 1289945088.

The previous prime is 5362381433. The next prime is 5362381459. The reversal of 5362381440 is 441832635.

5362381440 is a `hidden beast` number, since 536 + 2 + 3 + 81 + 4 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1986306624 + 3376074816 = 44568^2 + 58104^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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 = 5362381395 and 5362381404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49196106 + ... + 49196214.

Almost surely, 2^5362381440 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 5362381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548707400).

5362381440 is an abundant number, since it is smaller than the sum of its proper divisors (15735033360).

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

5362381440 is a wasteful number, since it uses less digits than its factorization.

5362381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5362381440 is about 73228.2830605771. The cubic root of 5362381440 is about 1750.3271703948.

The spelling of 5362381440 in words is "five billion, three hundred sixty-two million, three hundred eighty-one thousand, four hundred forty".