407009494560 has 192 divisors, whose sum is σ = 1310314102272. Its totient is φ = 106149052416.

The previous prime is 407009494559. The next prime is 407009494589. The reversal of 407009494560 is 65494900704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 35029872 + ... + 35041488.

It is an arithmetic number, because the mean of its divisors is an integer number (6824552616).

Almost surely, 2^407009494560 is an apocalyptic number.

407009494560 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 407009494560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655157051136).

407009494560 is an abundant number, since it is smaller than the sum of its proper divisors (903304607712).

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

407009494560 is a wasteful number, since it uses less digits than its factorization.

407009494560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13235 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 407009494560 in words is "four hundred seven billion, nine million, four hundred ninety-four thousand, five hundred sixty".