16290743040 has 1296 divisors, whose sum is σ = 71246972160. Its totient is φ = 3406233600.

The previous prime is 16290743039. The next prime is 16290743047. The reversal of 16290743040 is 4034709261.

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 = 16290742986 and 16290743004.

It is not an unprimeable number, because it can be changed into a prime (16290743047) 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, 525507825 + ... + 525507855.

Almost surely, 2^16290743040 is an apocalyptic number.

16290743040 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 16290743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35623486080).

16290743040 is an abundant number, since it is smaller than the sum of its proper divisors (54956229120).

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

16290743040 is a wasteful number, since it uses less digits than its factorization.

16290743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 16290743040 in words is "sixteen billion, two hundred ninety million, seven hundred forty-three thousand, forty".