490340723558400 has 2304 divisors, whose sum is σ = 2132757894758400. Its totient is φ = 108857032704000.

The previous prime is 490340723558377. The next prime is 490340723558419. The reversal of 490340723558400 is 4855327043094.

490340723558400 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 40 + 7 + 2 + 3 + 558 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25105756635 + ... + 25105776165.

It is an arithmetic number, because the mean of its divisors is an integer number (925676169600).

Almost surely, 2^{490340723558400} is an apocalyptic number.

490340723558400 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 490340723558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066378947379200).

490340723558400 is an abundant number, since it is smaller than the sum of its proper divisors (1642417171200000).

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

490340723558400 is a wasteful number, since it uses less digits than its factorization.

490340723558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19723 (or 19692 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 490340723558400 in words is "four hundred ninety trillion, three hundred forty billion, seven hundred twenty-three million, five hundred fifty-eight thousand, four hundred".