490107945600 has 1152 divisors, whose sum is σ = 2202952752000. Its totient is φ = 100979343360.

The previous prime is 490107945559. The next prime is 490107945619. The reversal of 490107945600 is 6549701094.

490107945600 is a `hidden beast` number, since 4 + 9 + 0 + 10 + 79 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112692226 + ... + 112696574.

It is an arithmetic number, because the mean of its divisors is an integer number (1912285375).

Almost surely, 2^490107945600 is an apocalyptic number.

490107945600 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 490107945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101476376000).

490107945600 is an abundant number, since it is smaller than the sum of its proper divisors (1712844806400).

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

490107945600 is a wasteful number, since it uses less digits than its factorization.

490107945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 490107945600 in words is "four hundred ninety billion, one hundred seven million, nine hundred forty-five thousand, six hundred".