407040317000 has 128 divisors (see below), whose sum is σ = 986163984000. Its totient is φ = 157066873600.

The previous prime is 407040316973. The next prime is 407040317023. The reversal of 407040317000 is 713040704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37897631 + ... + 37908369.

It is an arithmetic number, because the mean of its divisors is an integer number (7704406125).

Almost surely, 2^407040317000 is an apocalyptic number.

407040317000 is a gapful number since it is divisible by the number (40) 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 407040317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493081992000).

407040317000 is an abundant number, since it is smaller than the sum of its proper divisors (579123667000).

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

407040317000 is a wasteful number, since it uses less digits than its factorization.

407040317000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12096 (or 12082 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

Adding to 407040317000 its reverse (713040704), we get a palindrome (407753357704).

The spelling of 407040317000 in words is "four hundred seven billion, forty million, three hundred seventeen thousand".