34431414213000 has 256 divisors, whose sum is σ = 123709790730240. Its totient is φ = 7809960288000.

The previous prime is 34431414212971. The next prime is 34431414213023. The reversal of 34431414213000 is 31241413443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3506982 + ... + 9008981.

It is an arithmetic number, because the mean of its divisors is an integer number (483241370040).

Almost surely, 2^{34431414213000} is an apocalyptic number.

34431414213000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34431414213000 is an abundant number, since it is smaller than the sum of its proper divisors (89278376517240).

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

34431414213000 is a wasteful number, since it uses less digits than its factorization.

34431414213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12516125 (or 12516111 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34431414213000 its reverse (31241413443), we get a palindrome (34462655626443).

The spelling of 34431414213000 in words is "thirty-four trillion, four hundred thirty-one billion, four hundred fourteen million, two hundred thirteen thousand".