407299663872 has 288 divisors, whose sum is σ = 1227653612640. Its totient is φ = 134906757120.

The previous prime is 407299663871. The next prime is 407299663919. The reversal of 407299663872 is 278366992704.

407299663872 is a `hidden beast` number, since 40 + 72 + 99 + 66 + 387 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (407299663871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81116722 + ... + 81121742.

It is an arithmetic number, because the mean of its divisors is an integer number (4262686155).

Almost surely, 2^407299663872 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 407299663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613826806320).

407299663872 is an abundant number, since it is smaller than the sum of its proper divisors (820353948768).

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

407299663872 is an equidigital number, since it uses as much as digits as its factorization.

407299663872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 407299663872 in words is "four hundred seven billion, two hundred ninety-nine million, six hundred sixty-three thousand, eight hundred seventy-two".