16012374400 has 384 divisors, whose sum is σ = 45077472000. Its totient is φ = 5569536000.

The previous prime is 16012374377. The next prime is 16012374419. The reversal of 16012374400 is 447321061.

It is a super-2 number, since 2×16012374400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107465526 + ... + 107465674.

It is an arithmetic number, because the mean of its divisors is an integer number (117389250).

Almost surely, 2^16012374400 is an apocalyptic number.

16012374400 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 16012374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538736000).

16012374400 is an abundant number, since it is smaller than the sum of its proper divisors (29065097600).

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

16012374400 is a wasteful number, since it uses less digits than its factorization.

16012374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 16012374400 its reverse (447321061), we get a palindrome (16459695461).

The spelling of 16012374400 in words is "sixteen billion, twelve million, three hundred seventy-four thousand, four hundred".