16142400000 has 720 divisors, whose sum is σ = 62335072800. Its totient is φ = 4008960000.

The previous prime is 16142399939. The next prime is 16142400013. The reversal of 16142400000 is 424161.

16142400000 = 121³ + 122³ + ... + 504³.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273599971 + ... + 273600029.

It is an arithmetic number, because the mean of its divisors is an integer number (86576490).

Almost surely, 2^16142400000 is an apocalyptic number.

16142400000 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 16142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31167536400).

16142400000 is an abundant number, since it is smaller than the sum of its proper divisors (46192672800).

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

16142400000 is an frugal number, since it uses more digits than its factorization.

16142400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 16142400000 its reverse (424161), we get a palindrome (16142824161).

The spelling of 16142400000 in words is "sixteen billion, one hundred forty-two million, four hundred thousand".