4054009862448 has 800 divisors, whose sum is σ = 14977972390080. Its totient is φ = 1042969374720.

The previous prime is 4054009862437. The next prime is 4054009862471. The reversal of 4054009862448 is 8442689004504.

It is a happy number.

4054009862448 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 0 + 0 + 9 + 8 + 624 + 4 + 8 = 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 = 4054009862394 and 4054009862403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 552840990 + ... + 552848322.

Almost surely, 2^{4054009862448} is an apocalyptic number.

4054009862448 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 4054009862448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488986195040).

4054009862448 is an abundant number, since it is smaller than the sum of its proper divisors (10923962527632).

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

4054009862448 is a wasteful number, since it uses less digits than its factorization.

4054009862448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 4054009862448 in words is "four trillion, fifty-four billion, nine million, eight hundred sixty-two thousand, four hundred forty-eight".