4428076766400 has 3360 divisors, whose sum is σ = 20414850508800. Its totient is φ = 938843136000.

The previous prime is 4428076766383. The next prime is 4428076766563. The reversal of 4428076766400 is 46676708244.

4428076766400 is a `hidden beast` number, since 4 + 42 + 80 + 7 + 67 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 62367278365 + ... + 62367278435.

Almost surely, 2^{4428076766400} is an apocalyptic number.

4428076766400 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 4428076766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207425254400).

4428076766400 is an abundant number, since it is smaller than the sum of its proper divisors (15986773742400).

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

4428076766400 is a wasteful number, since it uses less digits than its factorization.

4428076766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 4428076766400 in words is "four trillion, four hundred twenty-eight billion, seventy-six million, seven hundred sixty-six thousand, four hundred".