490541680400 has 120 divisors (see below), whose sum is σ = 1187915932800. Its totient is φ = 194656896000.

The previous prime is 490541680399. The next prime is 490541680403. The reversal of 490541680400 is 4086145094.

It is a super-2 number, since 2×490541680400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (490541680403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48858581 + ... + 48868619.

It is an arithmetic number, because the mean of its divisors is an integer number (9899299440).

Almost surely, 2^490541680400 is an apocalyptic number.

490541680400 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 490541680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593957966400).

490541680400 is an abundant number, since it is smaller than the sum of its proper divisors (697374252400).

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

490541680400 is a wasteful number, since it uses less digits than its factorization.

490541680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11017 (or 11006 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 490541680400 in words is "four hundred ninety billion, five hundred forty-one million, six hundred eighty thousand, four hundred".