16040294350080 has 1728 divisors, whose sum is σ = 70582714675200. Its totient is φ = 3076190208000.

The previous prime is 16040294350049. The next prime is 16040294350123. The reversal of 16040294350080 is 8005349204061.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2448522805 + ... + 2448529355.

It is an arithmetic number, because the mean of its divisors is an integer number (40846478400).

Almost surely, 2^{16040294350080} is an apocalyptic number.

16040294350080 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 16040294350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35291357337600).

16040294350080 is an abundant number, since it is smaller than the sum of its proper divisors (54542420325120).

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

16040294350080 is a wasteful number, since it uses less digits than its factorization.

16040294350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 16040294350080 in words is "sixteen trillion, forty billion, two hundred ninety-four million, three hundred fifty thousand, eighty".