434201311002440 has 16 divisors (see below), whose sum is σ = 976952949755580. Its totient is φ = 173680524400960.

The previous prime is 434201311002313. The next prime is 434201311002491. The reversal of 434201311002440 is 44200113102434.

It can be written as a sum of positive squares in 2 ways, for example, as 397127655075844 + 37073655926596 = 19928062^2 + 6088814^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5427516387491 + ... + 5427516387570.

Almost surely, 2^{434201311002440} is an apocalyptic number.

434201311002440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434201311002440 is an abundant number, since it is smaller than the sum of its proper divisors (542751638753140).

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

434201311002440 is a wasteful number, since it uses less digits than its factorization.

434201311002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855032775072 (or 10855032775068 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 434201311002440 its reverse (44200113102434), we get a palindrome (478401424104874).

The spelling of 434201311002440 in words is "four hundred thirty-four trillion, two hundred one billion, three hundred eleven million, two thousand, four hundred forty".