34415140400 has 60 divisors (see below), whose sum is σ = 82738548144. Its totient is φ = 13756704000.

The previous prime is 34415140399. The next prime is 34415140423. The reversal of 34415140400 is 404151443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34415140400.

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, 575930 + ... + 632870.

Almost surely, 2^34415140400 is an apocalyptic number.

It is an amenable number.

34415140400 is an abundant number, since it is smaller than the sum of its proper divisors (48323407744).

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

34415140400 is a wasteful number, since it uses less digits than its factorization.

34415140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58470 (or 58459 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 34415140400 its reverse (404151443), we get a palindrome (34819291843).

The spelling of 34415140400 in words is "thirty-four billion, four hundred fifteen million, one hundred forty thousand, four hundred".