1940016456 has 192 divisors, whose sum is σ = 6237204480. Its totient is φ = 533070720.

The previous prime is 1940016439. The next prime is 1940016461. The reversal of 1940016456 is 6546100491.

1940016456 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 0 + 1 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1940016456.

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, 3546375 + ... + 3546921.

It is an arithmetic number, because the mean of its divisors is an integer number (32485440).

Almost surely, 2^1940016456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940016456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118602240).

1940016456 is an abundant number, since it is smaller than the sum of its proper divisors (4297188024).

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

1940016456 is a wasteful number, since it uses less digits than its factorization.

1940016456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1940016456 is about 44045.6178978114. The cubic root of 1940016456 is about 1247.1972308986.

The spelling of 1940016456 in words is "one billion, nine hundred forty million, sixteen thousand, four hundred fifty-six".