16042180440 has 256 divisors, whose sum is σ = 57075217920. Its totient is φ = 3555901440.

The previous prime is 16042180439. The next prime is 16042180457. The reversal of 16042180440 is 4408124061.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16042180398 and 16042180407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1831752 + ... + 1840488.

It is an arithmetic number, because the mean of its divisors is an integer number (222950070).

Almost surely, 2^16042180440 is an apocalyptic number.

16042180440 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 16042180440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28537608960).

16042180440 is an abundant number, since it is smaller than the sum of its proper divisors (41033037480).

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

16042180440 is a wasteful number, since it uses less digits than its factorization.

16042180440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8882 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 16042180440 in words is "sixteen billion, forty-two million, one hundred eighty thousand, four hundred forty".