1662405742080 has 400 divisors, whose sum is σ = 6146307218304. Its totient is φ = 429006274560.

The previous prime is 1662405742043. The next prime is 1662405742087. The reversal of 1662405742080 is 802475042661.

1662405742080 is a `hidden beast` number, since 1 + 6 + 62 + 40 + 57 + 420 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1662405742087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6298854 + ... + 6557466.

Almost surely, 2^{1662405742080} is an apocalyptic number.

1662405742080 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 1662405742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073153609152).

1662405742080 is an abundant number, since it is smaller than the sum of its proper divisors (4483901476224).

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

1662405742080 is an equidigital number, since it uses as much as digits as its factorization.

1662405742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258679 (or 258654 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1662405742080 in words is "one trillion, six hundred sixty-two billion, four hundred five million, seven hundred forty-two thousand, eighty".