34131330132400 has 120 divisors (see below), whose sum is σ = 82205735839920. Its totient is φ = 13618377400320.

The previous prime is 34131330132373. The next prime is 34131330132421. The reversal of 34131330132400 is 423103313143.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074343716 + ... + 1074375484.

It is an arithmetic number, because the mean of its divisors is an integer number (685047798666).

Almost surely, 2^{34131330132400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34131330132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41102867919960).

34131330132400 is an abundant number, since it is smaller than the sum of its proper divisors (48074405707520).

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

34131330132400 is a wasteful number, since it uses less digits than its factorization.

34131330132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38423 (or 38412 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 34131330132400 its reverse (423103313143), we get a palindrome (34554433445543).

The spelling of 34131330132400 in words is "thirty-four trillion, one hundred thirty-one billion, three hundred thirty million, one hundred thirty-two thousand, four hundred".