496186601040 has 1280 divisors, whose sum is σ = 2082826690560. Its totient is φ = 107296358400.

The previous prime is 496186601039. The next prime is 496186601047. The reversal of 496186601040 is 40106681694.

It is a super-2 number, since 2×496186601040² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496186601047) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 472108515 + ... + 472109565.

It is an arithmetic number, because the mean of its divisors is an integer number (1627208352).

Almost surely, 2^496186601040 is an apocalyptic number.

496186601040 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 496186601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041413345280).

496186601040 is an abundant number, since it is smaller than the sum of its proper divisors (1586640089520).

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

496186601040 is a wasteful number, since it uses less digits than its factorization.

496186601040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 496186601040 in words is "four hundred ninety-six billion, one hundred eighty-six million, six hundred one thousand, forty".