490071736320 has 240 divisors, whose sum is σ = 1650733304640. Its totient is φ = 123806416896.

The previous prime is 490071736279. The next prime is 490071736327. The reversal of 490071736320 is 23637170094.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490071736327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4616964 + ... + 4721916.

It is an arithmetic number, because the mean of its divisors is an integer number (6878055436).

Almost surely, 2^490071736320 is an apocalyptic number.

490071736320 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 490071736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825366652320).

490071736320 is an abundant number, since it is smaller than the sum of its proper divisors (1160661568320).

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

490071736320 is a wasteful number, since it uses less digits than its factorization.

490071736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105008 (or 104982 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 490071736320 in words is "four hundred ninety billion, seventy-one million, seven hundred thirty-six thousand, three hundred twenty".