1490035433040 has 1280 divisors, whose sum is σ = 6958766039040. Its totient is φ = 283509227520.

The previous prime is 1490035433021. The next prime is 1490035433041. The reversal of 1490035433040 is 403345300941.

1490035433040 is a `hidden beast` number, since 1 + 49 + 0 + 0 + 3 + 543 + 30 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1490035432986 and 1490035433004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490035433041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104608159 + ... + 104622401.

It is an arithmetic number, because the mean of its divisors is an integer number (5436535968).

Almost surely, 2^{1490035433040} is an apocalyptic number.

1490035433040 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 1490035433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479383019520).

1490035433040 is an abundant number, since it is smaller than the sum of its proper divisors (5468730606000).

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

1490035433040 is a wasteful number, since it uses less digits than its factorization.

1490035433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14337 (or 14325 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1490035433040 in words is "one trillion, four hundred ninety billion, thirty-five million, four hundred thirty-three thousand, forty".