434245145440 has 48 divisors (see below), whose sum is σ = 1026234256320. Its totient is φ = 173642168320.

The previous prime is 434245145437. The next prime is 434245145441. The reversal of 434245145440 is 44541542434.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 434245145393 and 434245145402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434245145441) 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, 63960 + ... + 934120.

It is an arithmetic number, because the mean of its divisors is an integer number (21379880340).

Almost surely, 2^434245145440 is an apocalyptic number.

434245145440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434245145440 is an abundant number, since it is smaller than the sum of its proper divisors (591989110880).

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

434245145440 is a wasteful number, since it uses less digits than its factorization.

434245145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873295 (or 873287 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 434245145440 its reverse (44541542434), we get a palindrome (478786687874).

The spelling of 434245145440 in words is "four hundred thirty-four billion, two hundred forty-five million, one hundred forty-five thousand, four hundred forty".