538312213440 has 672 divisors, whose sum is σ = 2082994056000. Its totient is φ = 126796824576.

The previous prime is 538312213427. The next prime is 538312213463. The reversal of 538312213440 is 44312213835.

538312213440 is a `hidden beast` number, since 5 + 3 + 83 + 122 + 13 + 440 = 666.

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 = 538312213395 and 538312213404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101393506 + ... + 101398814.

Almost surely, 2^538312213440 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 538312213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041497028000).

538312213440 is an abundant number, since it is smaller than the sum of its proper divisors (1544681842560).

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

538312213440 is a wasteful number, since it uses less digits than its factorization.

538312213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5477 (or 5464 counting only the distinct ones).

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

The spelling of 538312213440 in words is "five hundred thirty-eight billion, three hundred twelve million, two hundred thirteen thousand, four hundred forty".