472813770240 has 1120 divisors, whose sum is σ = 2057733564480. Its totient is φ = 101666783232.

The previous prime is 472813770203. The next prime is 472813770283. The reversal of 472813770240 is 42077318274.

472813770240 is a `hidden beast` number, since 472 + 8 + 137 + 7 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×472813770240² (a number of 24 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 222081496 + ... + 222083624.

Almost surely, 2^472813770240 is an apocalyptic number.

472813770240 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 472813770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028866782240).

472813770240 is an abundant number, since it is smaller than the sum of its proper divisors (1584919794240).

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

472813770240 is an equidigital number, since it uses as much as digits as its factorization.

472813770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 472813770240 in words is "four hundred seventy-two billion, eight hundred thirteen million, seven hundred seventy thousand, two hundred forty".