34021320110400 has 168 divisors, whose sum is σ = 127563749911360. Its totient is φ = 7776301731840.

The previous prime is 34021320110357. The next prime is 34021320110417. The reversal of 34021320110400 is 401102312043.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 506236045 + ... + 506303244.

Almost surely, 2^{34021320110400} is an apocalyptic number.

34021320110400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34021320110400 is an abundant number, since it is smaller than the sum of its proper divisors (93542429800960).

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

34021320110400 is a wasteful number, since it uses less digits than its factorization.

34021320110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012539321 (or 1012539306 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34021320110400 its reverse (401102312043), we get a palindrome (34422422422443).

The spelling of 34021320110400 in words is "thirty-four trillion, twenty-one billion, three hundred twenty million, one hundred ten thousand, four hundred".