434443141344432 has 40 divisors (see below), whose sum is σ = 1224339761972160. Its totient is φ = 131649436770880.

The previous prime is 434443141344427. The next prime is 434443141344437. The reversal of 434443141344432 is 234443141344434.

It is an interprime number because it is at equal distance from previous prime (434443141344427) and next prime (434443141344437).

It is a super-2 number, since 2×434443141344432² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (434443141344437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411404489382 + ... + 411404490437.

It is an arithmetic number, because the mean of its divisors is an integer number (30608494049304).

Almost surely, 2^{434443141344432} is an apocalyptic number.

It is an amenable number.

434443141344432 is an abundant number, since it is smaller than the sum of its proper divisors (789896620627728).

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

434443141344432 is a wasteful number, since it uses less digits than its factorization.

434443141344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822808979841 (or 822808979835 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 48.

Adding to 434443141344432 its reverse (234443141344434), we get a palindrome (668886282688866).

The spelling of 434443141344432 in words is "four hundred thirty-four trillion, four hundred forty-three billion, one hundred forty-one million, three hundred forty-four thousand, four hundred thirty-two".