4048369776000 has 768 divisors, whose sum is σ = 15882569164800. Its totient is φ = 980052480000.

The previous prime is 4048369775981. The next prime is 4048369776019. The reversal of 4048369776000 is 6779638404.

It is a happy number.

4048369776000 is a `hidden beast` number, since 4 + 0 + 483 + 6 + 97 + 76 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4048369775981) and next prime (4048369776019).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1569742711 + ... + 1569745289.

It is an arithmetic number, because the mean of its divisors is an integer number (20680428600).

Almost surely, 2^{4048369776000} is an apocalyptic number.

4048369776000 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 4048369776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7941284582400).

4048369776000 is an abundant number, since it is smaller than the sum of its proper divisors (11834199388800).

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

4048369776000 is a wasteful number, since it uses less digits than its factorization.

4048369776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 4048369776000 in words is "four trillion, forty-eight billion, three hundred sixty-nine million, seven hundred seventy-six thousand".