434141314040 has 64 divisors (see below), whose sum is σ = 1123756623360. Its totient is φ = 147862684800.

The previous prime is 434141314039. The next prime is 434141314067. The reversal of 434141314040 is 40413141434.

It is a super-2 number, since 2×434141314040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434141313994 and 434141314012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5091842 + ... + 5176401.

It is an arithmetic number, because the mean of its divisors is an integer number (17558697240).

Almost surely, 2^434141314040 is an apocalyptic number.

434141314040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434141314040 is an abundant number, since it is smaller than the sum of its proper divisors (689615309320).

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

434141314040 is a wasteful number, since it uses less digits than its factorization.

434141314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10268412 (or 10268408 counting only the distinct ones).

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

Adding to 434141314040 its reverse (40413141434), we get a palindrome (474554455474).

The spelling of 434141314040 in words is "four hundred thirty-four billion, one hundred forty-one million, three hundred fourteen thousand, forty".