407342080000 has 140 divisors (see below), whose sum is σ = 1017979985880. Its totient is φ = 162934784000.

The previous prime is 407342079887. The next prime is 407342080043. The reversal of 407342080000 is 80243704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5080221 + ... + 5159779.

Almost surely, 2^407342080000 is an apocalyptic number.

407342080000 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 407342080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508989992940).

407342080000 is an abundant number, since it is smaller than the sum of its proper divisors (610637905880).

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

407342080000 is an frugal number, since it uses more digits than its factorization.

407342080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79605 (or 79566 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 407342080000 in words is "four hundred seven billion, three hundred forty-two million, eighty thousand".