530431414002 has 384 divisors, whose sum is σ = 1426663342080. Its totient is φ = 145575118080.

The previous prime is 530431413949. The next prime is 530431414043. The reversal of 530431414002 is 200414134035.

It is a happy number.

530431414002 is a `hidden beast` number, since 5 + 304 + 314 + 1 + 40 + 0 + 2 = 666.

It is a super-2 number, since 2×530431414002² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 2777127727 + ... + 2777127917.

It is an arithmetic number, because the mean of its divisors is an integer number (3715269120).

Almost surely, 2^530431414002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530431414002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713331671040).

530431414002 is an abundant number, since it is smaller than the sum of its proper divisors (896231928078).

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

530431414002 is a wasteful number, since it uses less digits than its factorization.

530431414002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 530431414002 its reverse (200414134035), we get a palindrome (730845548037).

The spelling of 530431414002 in words is "five hundred thirty billion, four hundred thirty-one million, four hundred fourteen thousand, two".