34401411200 has 96 divisors (see below), whose sum is σ = 91519441860. Its totient is φ = 12702044160.

The previous prime is 34401411173. The next prime is 34401411263. The reversal of 34401411200 is 211410443.

It can be written as a sum of positive squares in 6 ways, for example, as 18125775424 + 16275635776 = 134632^2 + 127576^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371879 + ... + 455078.

Almost surely, 2^34401411200 is an apocalyptic number.

It is an amenable number.

34401411200 is an abundant number, since it is smaller than the sum of its proper divisors (57118030660).

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

34401411200 is a wasteful number, since it uses less digits than its factorization.

34401411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826994 (or 826977 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34401411200 its reverse (211410443), we get a palindrome (34612821643).

The spelling of 34401411200 in words is "thirty-four billion, four hundred one million, four hundred eleven thousand, two hundred".