16031241072 has 240 divisors, whose sum is σ = 56031056640. Its totient is φ = 4156876800.

The previous prime is 16031241071. The next prime is 16031241073. The reversal of 16031241072 is 27014213061.

16031241072 is a `hidden beast` number, since 1 + 603 + 12 + 41 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (16031241071) and next prime (16031241073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16031241071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10765704 + ... + 10767192.

It is an arithmetic number, because the mean of its divisors is an integer number (233462736).

Almost surely, 2^16031241072 is an apocalyptic number.

16031241072 is a gapful number since it is divisible by the number (12) 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 16031241072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28015528320).

16031241072 is an abundant number, since it is smaller than the sum of its proper divisors (39999815568).

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

16031241072 is a wasteful number, since it uses less digits than its factorization.

16031241072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 16031241072 in words is "sixteen billion, thirty-one million, two hundred forty-one thousand, seventy-two".