53382286440 has 512 divisors, whose sum is σ = 210825216000. Its totient is φ = 11757312000.

The previous prime is 53382286421. The next prime is 53382286459. The reversal of 53382286440 is 4468228335.

53382286440 is a `hidden beast` number, since 53 + 3 + 82 + 2 + 86 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (53382286421) and next prime (53382286459).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88822140 + ... + 88822740.

It is an arithmetic number, because the mean of its divisors is an integer number (411768000).

Almost surely, 2^53382286440 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 53382286440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105412608000).

53382286440 is an abundant number, since it is smaller than the sum of its proper divisors (157442929560).

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

53382286440 is a wasteful number, since it uses less digits than its factorization.

53382286440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 53382286440 in words is "fifty-three billion, three hundred eighty-two million, two hundred eighty-six thousand, four hundred forty".