1720142400 has 168 divisors, whose sum is σ = 5889248064. Its totient is φ = 438732800.

The previous prime is 1720142383. The next prime is 1720142449. The reversal of 1720142400 is 42410271.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102610 + ... + 118190.

It is an arithmetic number, because the mean of its divisors is an integer number (35055048).

Almost surely, 2^1720142400 is an apocalyptic number.

1720142400 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 1720142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944624032).

1720142400 is an abundant number, since it is smaller than the sum of its proper divisors (4169105664).

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

1720142400 is a wasteful number, since it uses less digits than its factorization.

1720142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15629 (or 15614 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1720142400 is about 41474.5994555704. The cubic root of 1720142400 is about 1198.1783471612.

Adding to 1720142400 its reverse (42410271), we get a palindrome (1762552671).

The spelling of 1720142400 in words is "one billion, seven hundred twenty million, one hundred forty-two thousand, four hundred".