1940090880 has 416 divisors, whose sum is σ = 7662057984. Its totient is φ = 408158208.

The previous prime is 1940090861. The next prime is 1940090903. The reversal of 1940090880 is 880900491.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5590867 + ... + 5591213.

Almost surely, 2^1940090880 is an apocalyptic number.

1940090880 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 1940090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831028992).

1940090880 is an abundant number, since it is smaller than the sum of its proper divisors (5721967104).

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

1940090880 is a wasteful number, since it uses less digits than its factorization.

1940090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1940090880 is about 44046.4627410647. The cubic root of 1940090880 is about 1247.2131792547.

The spelling of 1940090880 in words is "one billion, nine hundred forty million, ninety thousand, eight hundred eighty".