16103609533440 has 2816 divisors, whose sum is σ = 69438379852800. Its totient is φ = 3531582996480.

The previous prime is 16103609533433. The next prime is 16103609533511. The reversal of 16103609533440 is 4433590630161.

It is a happy number.

16103609533440 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 3 + 609 + 5 + 3 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 142509818824 + ... + 142509818936.

Almost surely, 2^{16103609533440} is an apocalyptic number.

16103609533440 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 16103609533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34719189926400).

16103609533440 is an abundant number, since it is smaller than the sum of its proper divisors (53334770319360).

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

16103609533440 is a wasteful number, since it uses less digits than its factorization.

16103609533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 16103609533440 in words is "sixteen trillion, one hundred three billion, six hundred nine million, five hundred thirty-three thousand, four hundred forty".