531354351440 has 320 divisors, whose sum is σ = 1440654792192. Its totient is φ = 180122419200.

The previous prime is 531354351421. The next prime is 531354351449. The reversal of 531354351440 is 44153453135.

It is a junction number, because it is equal to n+sod(n) for n = 531354351394 and 531354351403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531354351449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056370229 + ... + 1056370731.

Almost surely, 2^531354351440 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 531354351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720327396096).

531354351440 is an abundant number, since it is smaller than the sum of its proper divisors (909300440752).

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

531354351440 is a wasteful number, since it uses less digits than its factorization.

531354351440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 531354351440 in words is "five hundred thirty-one billion, three hundred fifty-four million, three hundred fifty-one thousand, four hundred forty".