534429342720 has 2640 divisors, whose sum is σ = 2554940942400. Its totient is φ = 106125852672.

The previous prime is 534429342709. The next prime is 534429342749. The reversal of 534429342720 is 27243924435.

534429342720 is a `hidden beast` number, since 5 + 344 + 2 + 9 + 34 + 272 + 0 = 666.

It is a super-2 number, since 2×534429342720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31437020152 + ... + 31437020168.

It is an arithmetic number, because the mean of its divisors is an integer number (967780660).

Almost surely, 2^534429342720 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 534429342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277470471200).

534429342720 is an abundant number, since it is smaller than the sum of its proper divisors (2020511599680).

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

534429342720 is a wasteful number, since it uses less digits than its factorization.

534429342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 534429342720 in words is "five hundred thirty-four billion, four hundred twenty-nine million, three hundred forty-two thousand, seven hundred twenty".