490069094400 has 624 divisors, whose sum is σ = 1813402213600. Its totient is φ = 129737687040.

The previous prime is 490069094377. The next prime is 490069094401. The reversal of 490069094400 is 4490960094.

It is a super-2 number, since 2×490069094400² (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 (490069094401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434073036 + ... + 434074164.

Almost surely, 2^490069094400 is an apocalyptic number.

490069094400 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 490069094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906701106800).

490069094400 is an abundant number, since it is smaller than the sum of its proper divisors (1323333119200).

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

490069094400 is a wasteful number, since it uses less digits than its factorization.

490069094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 490069094400 in words is "four hundred ninety billion, sixty-nine million, ninety-four thousand, four hundred".