1490135040 has 576 divisors, whose sum is σ = 5826038400. Its totient is φ = 350355456.

The previous prime is 1490135033. The next prime is 1490135071. The reversal of 1490135040 is 405310941.

1490135040 is a `hidden beast` number, since 1 + 490 + 135 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 1490134995 and 1490135013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40273902 + ... + 40273938.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2^1490135040 is an apocalyptic number.

1490135040 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 1490135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913019200).

1490135040 is an abundant number, since it is smaller than the sum of its proper divisors (4335903360).

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

1490135040 is a wasteful number, since it uses less digits than its factorization.

1490135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1490135040 is about 38602.2672909248. The cubic root of 1490135040 is about 1142.1992632726.

Adding to 1490135040 its reverse (405310941), we get a palindrome (1895445981).

The spelling of 1490135040 in words is "one billion, four hundred ninety million, one hundred thirty-five thousand, forty".