490142106720 has 480 divisors, whose sum is σ = 1979394278400. Its totient is φ = 111891538944.

The previous prime is 490142106691. The next prime is 490142106733. The reversal of 490142106720 is 27601241094.

It is a happy number.

490142106720 is a `hidden beast` number, since 490 + 1 + 42 + 106 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83368741 + ... + 83374619.

It is an arithmetic number, because the mean of its divisors is an integer number (4123738080).

Almost surely, 2^490142106720 is an apocalyptic number.

490142106720 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 490142106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989697139200).

490142106720 is an abundant number, since it is smaller than the sum of its proper divisors (1489252171680).

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

490142106720 is a wasteful number, since it uses less digits than its factorization.

490142106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 490142106720 in words is "four hundred ninety billion, one hundred forty-two million, one hundred six thousand, seven hundred twenty".