534232140240000 has 320 divisors, whose sum is σ = 1774130791292640. Its totient is φ = 142391144448000.

The previous prime is 534232140239983. The next prime is 534232140240017. The reversal of 534232140240000 is 42041232435.

It is an interprime number because it is at equal distance from previous prime (534232140239983) and next prime (534232140240017).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×534232140240000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 534232140240000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 483528199 + ... + 484631801.

Almost surely, 2^{534232140240000} is an apocalyptic number.

534232140240000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534232140240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887065395646320).

534232140240000 is an abundant number, since it is smaller than the sum of its proper divisors (1239898651052640).

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

534232140240000 is a wasteful number, since it uses less digits than its factorization.

534232140240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105657 (or 1105630 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 534232140240000 its reverse (42041232435), we get a palindrome (534274181472435).

The spelling of 534232140240000 in words is "five hundred thirty-four trillion, two hundred thirty-two billion, one hundred forty million, two hundred forty thousand".