1720406440704 has 288 divisors, whose sum is σ = 5267803340800. Its totient is φ = 488275070976.

The previous prime is 1720406440691. The next prime is 1720406440717. The reversal of 1720406440704 is 4070446040271.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1720406440691) and next prime (1720406440717).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034518977 + ... + 1034520639.

Almost surely, 2^{1720406440704} is an apocalyptic number.

1720406440704 is a gapful number since it is divisible by the number (14) 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 1720406440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633901670400).

1720406440704 is an abundant number, since it is smaller than the sum of its proper divisors (3547396900096).

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

1720406440704 is a wasteful number, since it uses less digits than its factorization.

1720406440704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 1720406440704 in words is "one trillion, seven hundred twenty billion, four hundred six million, four hundred forty thousand, seven hundred four".