534822294240 has 576 divisors, whose sum is σ = 2047295839680. Its totient is φ = 130327142400.

The previous prime is 534822294191. The next prime is 534822294289. The reversal of 534822294240 is 42492228435.

534822294240 is a `hidden beast` number, since 5 + 348 + 2 + 229 + 42 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (534822294191) and next prime (534822294289).

It is a super-2 number, since 2×534822294240² (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 95 ways as a sum of consecutive naturals, for example, 73734454 + ... + 73741706.

It is an arithmetic number, because the mean of its divisors is an integer number (3554333055).

Almost surely, 2^534822294240 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 534822294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023647919840).

534822294240 is an abundant number, since it is smaller than the sum of its proper divisors (1512473545440).

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

534822294240 is a wasteful number, since it uses less digits than its factorization.

534822294240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 534822294240 in words is "five hundred thirty-four billion, eight hundred twenty-two million, two hundred ninety-four thousand, two hundred forty".