4128786224640 has 4800 divisors, whose sum is σ = 20738813755968. Its totient is φ = 772905369600.

The previous prime is 4128786224621. The next prime is 4128786224663. The reversal of 4128786224640 is 464226878214.

It is a happy number.

4128786224640 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 7 + 8 + 622 + 4 + 6 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 77901626854 + ... + 77901626906.

Almost surely, 2^{4128786224640} is an apocalyptic number.

4128786224640 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 4128786224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369406877984).

4128786224640 is an abundant number, since it is smaller than the sum of its proper divisors (16610027531328).

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

4128786224640 is a wasteful number, since it uses less digits than its factorization.

4128786224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4128786224640 in words is "four trillion, one hundred twenty-eight billion, seven hundred eighty-six million, two hundred twenty-four thousand, six hundred forty".