474773504040 has 768 divisors, whose sum is σ = 1823330995200. Its totient is φ = 105902899200.

The previous prime is 474773504033. The next prime is 474773504069. The reversal of 474773504040 is 40405377474.

474773504040 is a `hidden beast` number, since 4 + 74 + 7 + 73 + 504 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 831476955 + ... + 831477525.

It is an arithmetic number, because the mean of its divisors is an integer number (2374128900).

Almost surely, 2^474773504040 is an apocalyptic number.

474773504040 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 474773504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911665497600).

474773504040 is an abundant number, since it is smaller than the sum of its proper divisors (1348557491160).

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

474773504040 is a wasteful number, since it uses less digits than its factorization.

474773504040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 474773504040 in words is "four hundred seventy-four billion, seven hundred seventy-three million, five hundred four thousand, forty".