4406349963600 has 480 divisors, whose sum is σ = 17624102818560. Its totient is φ = 1037480970240.

The previous prime is 4406349963583. The next prime is 4406349963641. The reversal of 4406349963600 is 63699436044.

4406349963600 is a `hidden beast` number, since 4 + 406 + 34 + 99 + 63 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2546934 + ... + 3911466.

It is an arithmetic number, because the mean of its divisors is an integer number (36716880872).

Almost surely, 2^{4406349963600} is an apocalyptic number.

4406349963600 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 4406349963600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812051409280).

4406349963600 is an abundant number, since it is smaller than the sum of its proper divisors (13217752854960).

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

4406349963600 is a wasteful number, since it uses less digits than its factorization.

4406349963600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364596 (or 1364579 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 4406349963600 in words is "four trillion, four hundred six billion, three hundred forty-nine million, nine hundred sixty-three thousand, six hundred".