16027440000 has 640 divisors, whose sum is σ = 62633450880. Its totient is φ = 3578880000.

The previous prime is 16027439971. The next prime is 16027440001. The reversal of 16027440000 is 4472061.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16027440001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34319767 + ... + 34320233.

It is an arithmetic number, because the mean of its divisors is an integer number (97864767).

Almost surely, 2^16027440000 is an apocalyptic number.

16027440000 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 16027440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31316725440).

16027440000 is an abundant number, since it is smaller than the sum of its proper divisors (46606010880).

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

16027440000 is a wasteful number, since it uses less digits than its factorization.

16027440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 16027440000 in words is "sixteen billion, twenty-seven million, four hundred forty thousand".