16297394400 has 1440 divisors, whose sum is σ = 75015198720. Its totient is φ = 3359232000.

The previous prime is 16297394389. The next prime is 16297394401. The reversal of 16297394400 is 449379261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16297394401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 267170370 + ... + 267170430.

It is an arithmetic number, because the mean of its divisors is an integer number (52093888).

Almost surely, 2^16297394400 is an apocalyptic number.

16297394400 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 16297394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37507599360).

16297394400 is an abundant number, since it is smaller than the sum of its proper divisors (58717804320).

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

16297394400 is a wasteful number, since it uses less digits than its factorization.

16297394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 16297394400 in words is "sixteen billion, two hundred ninety-seven million, three hundred ninety-four thousand, four hundred".