4100456448 has 240 divisors, whose sum is σ = 13086216000. Its totient is φ = 1226833920.

The previous prime is 4100456447. The next prime is 4100456489. The reversal of 4100456448 is 8446540014.

It is a happy number.

4100456448 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 4 + 5 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4100456447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51904473 + ... + 51904551.

It is an arithmetic number, because the mean of its divisors is an integer number (54525900).

Almost surely, 2^4100456448 is an apocalyptic number.

4100456448 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 4100456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543108000).

4100456448 is an abundant number, since it is smaller than the sum of its proper divisors (8985759552).

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

4100456448 is an frugal number, since it uses more digits than its factorization.

4100456448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4100456448 is about 64034.8065351962. The cubic root of 4100456448 is about 1600.5800563504.

The spelling of 4100456448 in words is "four billion, one hundred million, four hundred fifty-six thousand, four hundred forty-eight".