476118380427840 has 392 divisors, whose sum is σ = 1699935231398328. Its totient is φ = 126959112806400.

The previous prime is 476118380427827. The next prime is 476118380427869. The reversal of 476118380427840 is 48724083811674.

476118380427840 is a `hidden beast` number, since 4 + 7 + 6 + 11 + 83 + 80 + 427 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44055928351296 + 432062452076544 = 6637464^2 + 20786112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8258316454 + ... + 8258374106.

Almost surely, 2^{476118380427840} is an apocalyptic number.

476118380427840 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 476118380427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849967615699164).

476118380427840 is an abundant number, since it is smaller than the sum of its proper divisors (1223816850970488).

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

476118380427840 is an equidigital number, since it uses as much as digits as its factorization.

476118380427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93089 (or 93064 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 476118380427840 in words is "four hundred seventy-six trillion, one hundred eighteen billion, three hundred eighty million, four hundred twenty-seven thousand, eight hundred forty".