534341254105440 has 288 divisors, whose sum is σ = 1892007334054656. Its totient is φ = 142413160711680.

The previous prime is 534341254105369. The next prime is 534341254105501. The reversal of 534341254105440 is 44501452143435.

534341254105440 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 4 + 12 + 541 + 0 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 67436319 + ... + 74942241.

It is an arithmetic number, because the mean of its divisors is an integer number (6569469909912).

Almost surely, 2^{534341254105440} 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 534341254105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946003667027328).

534341254105440 is an abundant number, since it is smaller than the sum of its proper divisors (1357666079949216).

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

534341254105440 is a wasteful number, since it uses less digits than its factorization.

534341254105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7507784 (or 7507764 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 534341254105440 in words is "five hundred thirty-four trillion, three hundred forty-one billion, two hundred fifty-four million, one hundred five thousand, four hundred forty".