1798868269440 has 1792 divisors, whose sum is σ = 7362999221760. Its totient is φ = 416246169600.

The previous prime is 1798868269433. The next prime is 1798868269459. The reversal of 1798868269440 is 449628688971.

1798868269440 is a `hidden beast` number, since 17 + 98 + 8 + 6 + 82 + 6 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 17464740429 + ... + 17464740531.

It is an arithmetic number, because the mean of its divisors is an integer number (4108816530).

Almost surely, 2^{1798868269440} is an apocalyptic number.

1798868269440 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 1798868269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681499610880).

1798868269440 is an abundant number, since it is smaller than the sum of its proper divisors (5564130952320).

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

1798868269440 is a wasteful number, since it uses less digits than its factorization.

1798868269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 1798868269440 in words is "one trillion, seven hundred ninety-eight billion, eight hundred sixty-eight million, two hundred sixty-nine thousand, four hundred forty".