473039578851840 has 7200 divisors, whose sum is σ = 2471652676885392. Its totient is φ = 85346589081600.

The previous prime is 473039578851779. The next prime is 473039578851841. The reversal of 473039578851840 is 48158875930374.

473039578851840 is a `hidden beast` number, since 4 + 7 + 3 + 0 + 3 + 9 + 578 + 8 + 5 + 1 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38969355591936 + 434070223259904 = 6242544^2 + 20834352^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (473039578851841) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 271705673370 + ... + 271705675110.

Almost surely, 2^{473039578851840} is an apocalyptic number.

473039578851840 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 473039578851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235826338442696).

473039578851840 is an abundant number, since it is smaller than the sum of its proper divisors (1998613098033552).

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

473039578851840 is a wasteful number, since it uses less digits than its factorization.

473039578851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 473039578851840 in words is "four hundred seventy-three trillion, thirty-nine billion, five hundred seventy-eight million, eight hundred fifty-one thousand, eight hundred forty".