534295290480 has 240 divisors, whose sum is σ = 1930279847040. Its totient is φ = 121899907584.

The previous prime is 534295290467. The next prime is 534295290511. The reversal of 534295290480 is 84092592435.

534295290480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6391191 + ... + 6474249.

It is an arithmetic number, because the mean of its divisors is an integer number (8042832696).

Almost surely, 2^534295290480 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 534295290480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965139923520).

534295290480 is an abundant number, since it is smaller than the sum of its proper divisors (1395984556560).

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

534295290480 is a wasteful number, since it uses less digits than its factorization.

534295290480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83636 (or 83623 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 534295290480 in words is "five hundred thirty-four billion, two hundred ninety-five million, two hundred ninety thousand, four hundred eighty".