479037335040 has 1280 divisors, whose sum is σ = 1932356321280. Its totient is φ = 112405708800.

The previous prime is 479037335017. The next prime is 479037335059. The reversal of 479037335040 is 40533730974.

It is a happy number.

479037335040 is a `hidden beast` number, since 4 + 79 + 0 + 3 + 73 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3771947457 + ... + 3771947583.

It is an arithmetic number, because the mean of its divisors is an integer number (1509653376).

Almost surely, 2^479037335040 is an apocalyptic number.

479037335040 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 479037335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966178160640).

479037335040 is an abundant number, since it is smaller than the sum of its proper divisors (1453318986240).

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

479037335040 is a wasteful number, since it uses less digits than its factorization.

479037335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 479037335040 in words is "four hundred seventy-nine billion, thirty-seven million, three hundred thirty-five thousand, forty".