16249395110400 has 1440 divisors, whose sum is σ = 65885203612800. Its totient is φ = 3799764172800.

The previous prime is 16249395110387. The next prime is 16249395110401. The reversal of 16249395110400 is 401159394261.

16249395110400 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 93 + 9 + 511 + 0 + 40 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (16249395110401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2269782021 + ... + 2269789179.

It is an arithmetic number, because the mean of its divisors is an integer number (45753613620).

Almost surely, 2^{16249395110400} is an apocalyptic number.

16249395110400 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 16249395110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32942601806400).

16249395110400 is an abundant number, since it is smaller than the sum of its proper divisors (49635808502400).

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

16249395110400 is a wasteful number, since it uses less digits than its factorization.

16249395110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 16249395110400 in words is "sixteen trillion, two hundred forty-nine billion, three hundred ninety-five million, one hundred ten thousand, four hundred".