16167191040 has 960 divisors, whose sum is σ = 75284681472. Its totient is φ = 3096576000.

The previous prime is 16167191039. The next prime is 16167191057. The reversal of 16167191040 is 4019176161.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×16167191040² (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 = 16167190986 and 16167191004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062690 + ... + 23063390.

Almost surely, 2^16167191040 is an apocalyptic number.

16167191040 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 16167191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37642340736).

16167191040 is an abundant number, since it is smaller than the sum of its proper divisors (59117490432).

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

16167191040 is a wasteful number, since it uses less digits than its factorization.

16167191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 16167191040 in words is "sixteen billion, one hundred sixty-seven million, one hundred ninety-one thousand, forty".