4474096352000 has 288 divisors, whose sum is σ = 12175839696384. Its totient is φ = 1624659456000.

The previous prime is 4474096351997. The next prime is 4474096352003. The reversal of 4474096352000 is 2536904744.

It is an interprime number because it is at equal distance from previous prime (4474096351997) and next prime (4474096352003).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4474096352003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261527447 + ... + 261544553.

It is an arithmetic number, because the mean of its divisors is an integer number (42277221168).

Almost surely, 2^{4474096352000} is an apocalyptic number.

4474096352000 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 4474096352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087919848192).

4474096352000 is an abundant number, since it is smaller than the sum of its proper divisors (7701743344384).

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

4474096352000 is a wasteful number, since it uses less digits than its factorization.

4474096352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17892 (or 17868 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 4474096352000 in words is "four trillion, four hundred seventy-four billion, ninety-six million, three hundred fifty-two thousand".