1627998441120 has 768 divisors, whose sum is σ = 6234568704000. Its totient is φ = 395191996416.

The previous prime is 1627998441119. The next prime is 1627998441127. The reversal of 1627998441120 is 211448997261.

1627998441120 is a `hidden beast` number, since 1 + 6 + 2 + 79 + 9 + 8 + 441 + 120 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1627998441127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 530809827 + ... + 530812893.

It is an arithmetic number, because the mean of its divisors is an integer number (8117928000).

Almost surely, 2^{1627998441120} is an apocalyptic number.

1627998441120 is a gapful number since it is divisible by the number (10) 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 1627998441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117284352000).

1627998441120 is an abundant number, since it is smaller than the sum of its proper divisors (4606570262880).

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

1627998441120 is a wasteful number, since it uses less digits than its factorization.

1627998441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1627998441120 in words is "one trillion, six hundred twenty-seven billion, nine hundred ninety-eight million, four hundred forty-one thousand, one hundred twenty".