16424895805440 has 384 divisors, whose sum is σ = 53527470796800. Its totient is φ = 4298790666240.

The previous prime is 16424895805403. The next prime is 16424895805471. The reversal of 16424895805440 is 4450859842461.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486372876 + ... + 486406644.

It is an arithmetic number, because the mean of its divisors is an integer number (139394455200).

Almost surely, 2^{16424895805440} is an apocalyptic number.

16424895805440 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 16424895805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26763735398400).

16424895805440 is an abundant number, since it is smaller than the sum of its proper divisors (37102574991360).

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

16424895805440 is a wasteful number, since it uses less digits than its factorization.

16424895805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34093 (or 34073 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 16424895805440 in words is "sixteen trillion, four hundred twenty-four billion, eight hundred ninety-five million, eight hundred five thousand, four hundred forty".