479691138355200 has 1872 divisors, whose sum is σ = 1901664665671680. Its totient is φ = 119431715880960.

The previous prime is 479691138355189. The next prime is 479691138355229. The reversal of 479691138355200 is 2553831196974.

479691138355200 is a `hidden beast` number, since 4 + 7 + 9 + 6 + 91 + 13 + 8 + 3 + 5 + 520 + 0 = 666.

It is a super-2 number, since 2×479691138355200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53722824336 + ... + 53722833264.

It is an arithmetic number, because the mean of its divisors is an integer number (1015846509440).

It is a 2-persistent number, because it is pandigital, and so is 2⋅479691138355200 = 959382276710400, but 3⋅479691138355200 = 1439073415065600 is not.

Almost surely, 2^{479691138355200} is an apocalyptic number.

479691138355200 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 479691138355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950832332835840).

479691138355200 is an abundant number, since it is smaller than the sum of its proper divisors (1421973527316480).

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

479691138355200 is a wasteful number, since it uses less digits than its factorization.

479691138355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 479691138355200 in words is "four hundred seventy-nine trillion, six hundred ninety-one billion, one hundred thirty-eight million, three hundred fifty-five thousand, two hundred".