581418050640 has 480 divisors, whose sum is σ = 2177896605696. Its totient is φ = 125456348160.

The previous prime is 581418050621. The next prime is 581418050657. The reversal of 581418050640 is 46050814185.

581418050640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×581418050640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 581418050592 and 581418050601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241151035 + ... + 241153445.

Almost surely, 2^581418050640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581418050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088948302848).

581418050640 is an abundant number, since it is smaller than the sum of its proper divisors (1596478555056).

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

581418050640 is a wasteful number, since it uses less digits than its factorization.

581418050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 581418050640 in words is "five hundred eighty-one billion, four hundred eighteen million, fifty thousand, six hundred forty".