1490523768000 has 560 divisors, whose sum is σ = 5538975403104. Its totient is φ = 395682969600.

The previous prime is 1490523767977. The next prime is 1490523768017. The reversal of 1490523768000 is 8673250941.

1490523768000 is a `hidden beast` number, since 1 + 49 + 0 + 523 + 7 + 6 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×1490523768000² (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 147090934 + ... + 147101066.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1490523768000 = 2981047536000, but 3⋅1490523768000 = 4471571304000 is not.

Almost surely, 2^{1490523768000} is an apocalyptic number.

1490523768000 is a gapful number since it is divisible by the number (10) 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 1490523768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769487701552).

1490523768000 is an abundant number, since it is smaller than the sum of its proper divisors (4048451635104).

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

1490523768000 is a wasteful number, since it uses less digits than its factorization.

1490523768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1490523768000 in words is "one trillion, four hundred ninety billion, five hundred twenty-three million, seven hundred sixty-eight thousand".