1940686272 has 336 divisors, whose sum is σ = 7029614592. Its totient is φ = 498769920.

The previous prime is 1940686229. The next prime is 1940686283. The reversal of 1940686272 is 2726860491.

It is a happy number.

1940686272 is a `hidden beast` number, since 19 + 4 + 0 + 6 + 8 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575897 + ... + 1577127.

It is an arithmetic number, because the mean of its divisors is an integer number (20921472).

Almost surely, 2^1940686272 is an apocalyptic number.

1940686272 is a gapful number since it is divisible by the number (12) 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 1940686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514807296).

1940686272 is an abundant number, since it is smaller than the sum of its proper divisors (5088928320).

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

1940686272 is a wasteful number, since it uses less digits than its factorization.

1940686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1940686272 is about 44053.2209038113. The cubic root of 1940686272 is about 1247.3407514227.

The spelling of 1940686272 in words is "one billion, nine hundred forty million, six hundred eighty-six thousand, two hundred seventy-two".