407081338560 has 336 divisors, whose sum is σ = 1513800209376. Its totient is φ = 99812376576.

The previous prime is 407081338493. The next prime is 407081338591. The reversal of 407081338560 is 65833180704.

407081338560 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 81 + 3 + 3 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 9600927 + ... + 9643233.

It is an arithmetic number, because the mean of its divisors is an integer number (4505357766).

Almost surely, 2^407081338560 is an apocalyptic number.

407081338560 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 407081338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756900104688).

407081338560 is an abundant number, since it is smaller than the sum of its proper divisors (1106718870816).

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

407081338560 is a wasteful number, since it uses less digits than its factorization.

407081338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42600 (or 42587 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 407081338560 in words is "four hundred seven billion, eighty-one million, three hundred thirty-eight thousand, five hundred sixty".