434050142115504 has 240 divisors, whose sum is σ = 1195001602502400. Its totient is φ = 135730876428288.

The previous prime is 434050142115503. The next prime is 434050142115539. The reversal of 434050142115504 is 405511241050434.

It is not an unprimeable number, because it can be changed into a prime (434050142115503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11498911959 + ... + 11498949705.

It is an arithmetic number, because the mean of its divisors is an integer number (4979173343760).

Almost surely, 2^{434050142115504} 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 434050142115504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597500801251200).

434050142115504 is an abundant number, since it is smaller than the sum of its proper divisors (760951460386896).

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

434050142115504 is a wasteful number, since it uses less digits than its factorization.

434050142115504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40460 (or 40437 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 434050142115504 its reverse (405511241050434), we get a palindrome (839561383165938).

The spelling of 434050142115504 in words is "four hundred thirty-four trillion, fifty billion, one hundred forty-two million, one hundred fifteen thousand, five hundred four".