940609440 has 288 divisors, whose sum is σ = 3490905600. Its totient is φ = 229754880.

The previous prime is 940609433. The next prime is 940609441. The reversal of 940609440 is 44906049.

940609440 is a `hidden beast` number, since 9 + 4 + 0 + 609 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×940609440² = 1769492237234227200, 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 = 940609395 and 940609404.

It is not an unprimeable number, because it can be changed into a prime (940609441) 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, 847606 + ... + 848714.

It is an arithmetic number, because the mean of its divisors is an integer number (12121200).

Almost surely, 2^940609440 is an apocalyptic number.

940609440 is a gapful number since it is divisible by the number (90) 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 940609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745452800).

940609440 is an abundant number, since it is smaller than the sum of its proper divisors (2550296160).

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

940609440 is a wasteful number, since it uses less digits than its factorization.

940609440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 940609440 is about 30669.3566936119. The cubic root of 940609440 is about 979.7977647386.

The spelling of 940609440 in words is "nine hundred forty million, six hundred nine thousand, four hundred forty".