1940736000 has 576 divisors, whose sum is σ = 7788493440. Its totient is φ = 420249600.

The previous prime is 1940735989. The next prime is 1940736001. The reversal of 1940736000 is 6370491.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940736001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102143991 + ... + 102144009.

It is an arithmetic number, because the mean of its divisors is an integer number (13521690).

Almost surely, 2^1940736000 is an apocalyptic number.

1940736000 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 1940736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894246720).

1940736000 is an abundant number, since it is smaller than the sum of its proper divisors (5847757440).

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

1940736000 is an equidigital number, since it uses as much as digits as its factorization.

1940736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1940736000 is about 44053.7853084159. The cubic root of 1940736000 is about 1247.3514052538.

The spelling of 1940736000 in words is "one billion, nine hundred forty million, seven hundred thirty-six thousand".