1990133040 has 480 divisors, whose sum is σ = 7621226496. Its totient is φ = 427714560.

The previous prime is 1990133021. The next prime is 1990133069. The reversal of 1990133040 is 403310991.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1990132989 and 1990133007.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19321629 + ... + 19321731.

Almost surely, 2^1990133040 is an apocalyptic number.

1990133040 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 1990133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810613248).

1990133040 is an abundant number, since it is smaller than the sum of its proper divisors (5631093456).

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

1990133040 is a wasteful number, since it uses less digits than its factorization.

1990133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1990133040 is about 44610.9071864718. The cubic root of 1990133040 is about 1257.8457014802.

The spelling of 1990133040 in words is "one billion, nine hundred ninety million, one hundred thirty-three thousand, forty".