407415340608 has 112 divisors (see below), whose sum is σ = 1090121613504. Its totient is φ = 134279608320.

The previous prime is 407415340567. The next prime is 407415340693. The reversal of 407415340608 is 806043514704.

It is a self number, because there is not a number n which added to its sum of digits gives 407415340608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6937866 + ... + 6996342.

It is an arithmetic number, because the mean of its divisors is an integer number (9733228692).

Almost surely, 2^407415340608 is an apocalyptic number.

407415340608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407415340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545060806752).

407415340608 is an abundant number, since it is smaller than the sum of its proper divisors (682706272896).

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

407415340608 is a wasteful number, since it uses less digits than its factorization.

407415340608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58900 (or 58890 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 407415340608 in words is "four hundred seven billion, four hundred fifteen million, three hundred forty thousand, six hundred eight".