490308695735040 has 3456 divisors, whose sum is σ = 2368468576051200. Its totient is φ = 94841062686720.

The previous prime is 490308695735039. The next prime is 490308695735057. The reversal of 490308695735040 is 40537596803094.

490308695735040 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 0 + 8 + 6 + 9 + 573 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×490308695735040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12966651174 + ... + 12966688986.

Almost surely, 2^{490308695735040} is an apocalyptic number.

490308695735040 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 490308695735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184234288025600).

490308695735040 is an abundant number, since it is smaller than the sum of its proper divisors (1878159880316160).

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

490308695735040 is a wasteful number, since it uses less digits than its factorization.

490308695735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37920 (or 37893 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 490308695735040 in words is "four hundred ninety trillion, three hundred eight billion, six hundred ninety-five million, seven hundred thirty-five thousand, forty".