434211411440 has 20 divisors (see below), whose sum is σ = 1009541531784. Its totient is φ = 173684564544.

The previous prime is 434211411421. The next prime is 434211411509. The reversal of 434211411440 is 44114112434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2713821242 + ... + 2713821401.

Almost surely, 2^434211411440 is an apocalyptic number.

434211411440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434211411440 is an abundant number, since it is smaller than the sum of its proper divisors (575330120344).

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

434211411440 is a wasteful number, since it uses less digits than its factorization.

434211411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427642656 (or 5427642650 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 434211411440 its reverse (44114112434), we get a palindrome (478325523874).

The spelling of 434211411440 in words is "four hundred thirty-four billion, two hundred eleven million, four hundred eleven thousand, four hundred forty".