474431723003040 has 192 divisors, whose sum is σ = 1630555948449792. Its totient is φ = 114997100057600.

The previous prime is 474431723003003. The next prime is 474431723003047. The reversal of 474431723003040 is 40300327134474.

It is a junction number, because it is equal to n+sod(n) for n = 474431723002983 and 474431723003001.

It is not an unprimeable number, because it can be changed into a prime (474431723003047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29989249 + ... + 42990911.

It is an arithmetic number, because the mean of its divisors is an integer number (8492478898176).

Almost surely, 2^{474431723003040} is an apocalyptic number.

474431723003040 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 474431723003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815277974224896).

474431723003040 is an abundant number, since it is smaller than the sum of its proper divisors (1156124225446752).

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

474431723003040 is a wasteful number, since it uses less digits than its factorization.

474431723003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13008603 (or 13008595 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 42.

The spelling of 474431723003040 in words is "four hundred seventy-four trillion, four hundred thirty-one billion, seven hundred twenty-three million, three thousand, forty".