1659434451840 has 768 divisors, whose sum is σ = 6733411027200. Its totient is φ = 372239400960.

The previous prime is 1659434451769. The next prime is 1659434451869. The reversal of 1659434451840 is 481544349561.

1659434451840 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 43 + 44 + 518 + 40 = 666.

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, 51749092 + ... + 51781148.

It is an arithmetic number, because the mean of its divisors is an integer number (8767462275).

Almost surely, 2^{1659434451840} is an apocalyptic number.

1659434451840 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 1659434451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366705513600).

1659434451840 is an abundant number, since it is smaller than the sum of its proper divisors (5073976575360).

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

1659434451840 is a wasteful number, since it uses less digits than its factorization.

1659434451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32155 (or 32140 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 1659434451840 in words is "one trillion, six hundred fifty-nine billion, four hundred thirty-four million, four hundred fifty-one thousand, eight hundred forty".