407340080048 has 80 divisors (see below), whose sum is σ = 875989468800. Its totient is φ = 181949898240.

The previous prime is 407340079943. The next prime is 407340080051. The reversal of 407340080048 is 840080043704.

It is a super-2 number, since 2×407340080048² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 407340079993 and 407340080020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2473463 + ... + 2633001.

It is an arithmetic number, because the mean of its divisors is an integer number (10949868360).

Almost surely, 2^407340080048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407340080048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437994734400).

407340080048 is an abundant number, since it is smaller than the sum of its proper divisors (468649388752).

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

407340080048 is a wasteful number, since it uses less digits than its factorization.

407340080048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159810 (or 159804 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 407340080048 in words is "four hundred seven billion, three hundred forty million, eighty thousand, forty-eight".