534042240435 has 144 divisors (see below), whose sum is σ = 1072250996544. Its totient is φ = 245213760000.

The previous prime is 534042240421. The next prime is 534042240493.

534042240435 is a `hidden beast` number, since 5 + 3 + 404 + 2 + 240 + 4 + 3 + 5 = 666.

534042240435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 534042240435 - 2⁶ = 534042240371 is a prime.

It is a super-2 number, since 2×534042240435² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 534042240435.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12627625 + ... + 12669845.

It is an arithmetic number, because the mean of its divisors is an integer number (7446187476).

Almost surely, 2^534042240435 is an apocalyptic number.

534042240435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

534042240435 is an abundant number, since it is smaller than the sum of its proper divisors (538208756109).

534042240435 is a wasteful number, since it uses less digits than its factorization.

534042240435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42378 (or 42364 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 534042 and 240435, that added together give a palindrome (774477).

The spelling of 534042240435 in words is "five hundred thirty-four billion, forty-two million, two hundred forty thousand, four hundred thirty-five".