4396477962240 has 3072 divisors, whose sum is σ = 21477560832000. Its totient is φ = 825564856320.

The previous prime is 4396477962209. The next prime is 4396477962287. The reversal of 4396477962240 is 422697746934.

It is a happy number.

4396477962240 is a `hidden beast` number, since 4 + 39 + 6 + 477 + 96 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8126576370 + ... + 8126576910.

It is an arithmetic number, because the mean of its divisors is an integer number (6991393500).

Almost surely, 2^{4396477962240} is an apocalyptic number.

4396477962240 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 4396477962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738780416000).

4396477962240 is an abundant number, since it is smaller than the sum of its proper divisors (17081082869760).

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

4396477962240 is a wasteful number, since it uses less digits than its factorization.

4396477962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 4396477962240 in words is "four trillion, three hundred ninety-six billion, four hundred seventy-seven million, nine hundred sixty-two thousand, two hundred forty".