4407942240 has 864 divisors, whose sum is σ = 18748285920. Its totient is φ = 967458816.

The previous prime is 4407942239. The next prime is 4407942241. The reversal of 4407942240 is 422497044.

4407942240 is a `hidden beast` number, since 4 + 407 + 9 + 4 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (4407942239) and next prime (4407942241).

It is a tau number, because it is divible by the number of its divisors (864).

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 = 4407942195 and 4407942204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407942241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 231996951 + ... + 231996969.

It is an arithmetic number, because the mean of its divisors is an integer number (21699405).

Almost surely, 2^4407942240 is an apocalyptic number.

4407942240 is a gapful number since it is divisible by the number (40) 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 4407942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374142960).

4407942240 is an abundant number, since it is smaller than the sum of its proper divisors (14340343680).

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

4407942240 is a wasteful number, since it uses less digits than its factorization.

4407942240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4407942240 is about 66392.3357022480. The cubic root of 4407942240 is about 1639.6278949556.

The spelling of 4407942240 in words is "four billion, four hundred seven million, nine hundred forty-two thousand, two hundred forty".