4012448904000 has 168 divisors, whose sum is σ = 14353198728648. Its totient is φ = 1069986355200.

The previous prime is 4012448903909. The next prime is 4012448904007. The reversal of 4012448904000 is 4098442104.

4012448904000 is a `hidden beast` number, since 4 + 0 + 1 + 244 + 8 + 9 + 0 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104773921344 + 3907674982656 = 323688^2 + 1976784^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012448904007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27792229 + ... + 27936228.

Almost surely, 2^{4012448904000} is an apocalyptic number.

4012448904000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4012448904000 is an abundant number, since it is smaller than the sum of its proper divisors (10340749824648).

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

4012448904000 is a wasteful number, since it uses less digits than its factorization.

4012448904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55728490 (or 55728467 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4012448904000 in words is "four trillion, twelve billion, four hundred forty-eight million, nine hundred four thousand".