601404410640 has 160 divisors (see below), whose sum is σ = 2040382835712. Its totient is φ = 145326016000.

The previous prime is 601404410627. The next prime is 601404410641. The reversal of 601404410640 is 46014404106.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 601404410598 and 601404410607.

It is not an unprimeable number, because it can be changed into a prime (601404410641) 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, 454795 + ... + 1187285.

Almost surely, 2^601404410640 is an apocalyptic number.

601404410640 is a gapful number since it is divisible by the number (60) 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 601404410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020191417856).

601404410640 is an abundant number, since it is smaller than the sum of its proper divisors (1438978425072).

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

601404410640 is a wasteful number, since it uses less digits than its factorization.

601404410640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732829 (or 732823 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 601404410640 its reverse (46014404106), we get a palindrome (647418814746).

The spelling of 601404410640 in words is "six hundred one billion, four hundred four million, four hundred ten thousand, six hundred forty".