2401433505660 has 384 divisors, whose sum is σ = 8535634329600. Its totient is φ = 491808430080.

The previous prime is 2401433505631. The next prime is 2401433505677. The reversal of 2401433505660 is 665053341042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16261555 + ... + 16408565.

It is an arithmetic number, because the mean of its divisors is an integer number (22228214400).

Almost surely, 2^{2401433505660} is an apocalyptic number.

2401433505660 is a gapful number since it is divisible by the number (20) 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 2401433505660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267817164800).

2401433505660 is an abundant number, since it is smaller than the sum of its proper divisors (6134200823940).

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

2401433505660 is a wasteful number, since it uses less digits than its factorization.

2401433505660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147161 (or 147159 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 2401433505660 in words is "two trillion, four hundred one billion, four hundred thirty-three million, five hundred five thousand, six hundred sixty".