1964413440 has 480 divisors, whose sum is σ = 7767467136. Its totient is φ = 454164480.

The previous prime is 1964413411. The next prime is 1964413441. The reversal of 1964413440 is 443144691.

It is a happy number.

1964413440 is a `hidden beast` number, since 1 + 9 + 644 + 1 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1964413395 and 1964413404.

It is not an unprimeable number, because it can be changed into a prime (1964413441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5828952 + ... + 5829288.

Almost surely, 2^1964413440 is an apocalyptic number.

1964413440 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 1964413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883733568).

1964413440 is an abundant number, since it is smaller than the sum of its proper divisors (5803053696).

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

1964413440 is a wasteful number, since it uses less digits than its factorization.

1964413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1964413440 is about 44321.7039383641. The cubic root of 1964413440 is about 1252.4035758296.

The spelling of 1964413440 in words is "one billion, nine hundred sixty-four million, four hundred thirteen thousand, four hundred forty".