16338362040 has 1536 divisors, whose sum is σ = 79427174400. Its totient is φ = 2926264320.

The previous prime is 16338362039. The next prime is 16338362063. The reversal of 16338362040 is 4026383361.

It is a super-2 number, since 2×16338362040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16338361986 and 16338362004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 128648457 + ... + 128648583.

It is an arithmetic number, because the mean of its divisors is an integer number (51710400).

Almost surely, 2^16338362040 is an apocalyptic number.

16338362040 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 16338362040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39713587200).

16338362040 is an abundant number, since it is smaller than the sum of its proper divisors (63088812360).

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

16338362040 is a wasteful number, since it uses less digits than its factorization.

16338362040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 16338362040 in words is "sixteen billion, three hundred thirty-eight million, three hundred sixty-two thousand, forty".