4400369394048 has 256 divisors, whose sum is σ = 13423435008000. Its totient is φ = 1417643182080.

The previous prime is 4400369394037. The next prime is 4400369394067. The reversal of 4400369394048 is 8404939630044.

4400369394048 is a `hidden beast` number, since 440 + 0 + 36 + 93 + 9 + 40 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4400369393985 and 4400369394003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84289938 + ... + 84342126.

It is an arithmetic number, because the mean of its divisors is an integer number (52435293000).

Almost surely, 2^{4400369394048} is an apocalyptic number.

4400369394048 is a gapful number since it is divisible by the number (48) 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 4400369394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711717504000).

4400369394048 is an abundant number, since it is smaller than the sum of its proper divisors (9023065613952).

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

4400369394048 is a wasteful number, since it uses less digits than its factorization.

4400369394048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53030 (or 53012 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 4400369394048 in words is "four trillion, four hundred billion, three hundred sixty-nine million, three hundred ninety-four thousand, forty-eight".