4394406240 has 720 divisors, whose sum is σ = 18498969216. Its totient is φ = 948326400.

The previous prime is 4394406227. The next prime is 4394406257. The reversal of 4394406240 is 426044934.

4394406240 is a `hidden beast` number, since 4 + 3 + 9 + 4 + 406 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 4394406195 and 4394406204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 107180620 + ... + 107180660.

Almost surely, 2^4394406240 is an apocalyptic number.

4394406240 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 4394406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249484608).

4394406240 is an abundant number, since it is smaller than the sum of its proper divisors (14104562976).

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

4394406240 is a wasteful number, since it uses less digits than its factorization.

4394406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4394406240 is about 66290.3178450669. The cubic root of 4394406240 is about 1637.9478396715.

The spelling of 4394406240 in words is "four billion, three hundred ninety-four million, four hundred six thousand, two hundred forty".