495840400473600 has 6720 divisors, whose sum is σ = 2452760444534400. Its totient is φ = 98322481152000.

The previous prime is 495840400473589. The next prime is 495840400473601. The reversal of 495840400473600 is 6374004048594.

495840400473600 is a `hidden beast` number, since 4 + 95 + 8 + 40 + 40 + 0 + 473 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495840400473601) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 707332953250 + ... + 707332953950.

It is an arithmetic number, because the mean of its divisors is an integer number (364994113770).

Almost surely, 2^{495840400473600} is an apocalyptic number.

495840400473600 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 495840400473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226380222267200).

495840400473600 is an abundant number, since it is smaller than the sum of its proper divisors (1956920044060800).

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

495840400473600 is an equidigital number, since it uses as much as digits as its factorization.

495840400473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 495840400473600 in words is "four hundred ninety-five trillion, eight hundred forty billion, four hundred million, four hundred seventy-three thousand, six hundred".