1900765440 has 576 divisors, whose sum is σ = 7884280320. Its totient is φ = 429981696.

The previous prime is 1900765423. The next prime is 1900765463. The reversal of 1900765440 is 445670091.

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

It is a super-2 number, since 2×1900765440² = 7225818515796787200, which contains 22 as substring.

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 = 1900765395 and 1900765404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595472 + ... + 19595568.

Almost surely, 2^1900765440 is an apocalyptic number.

1900765440 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 1900765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942140160).

1900765440 is an abundant number, since it is smaller than the sum of its proper divisors (5983514880).

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

1900765440 is an frugal number, since it uses more digits than its factorization.

1900765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1900765440 is about 43597.7687502468. The cubic root of 1900765440 is about 1238.7286310104.

The spelling of 1900765440 in words is "one billion, nine hundred million, seven hundred sixty-five thousand, four hundred forty".