21074160744 has 480 divisors, whose sum is σ = 75123227520. Its totient is φ = 5400525312.

The previous prime is 21074160739. The next prime is 21074160763. The reversal of 21074160744 is 44706147012.

It is a happy number.

21074160744 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 4 + 1 + 607 + 44 = 666.

It is a super-3 number, since 3×21074160744³ (a number of 32 digits) contains 333 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 = 21074160699 and 21074160708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28363237 + ... + 28363979.

It is an arithmetic number, because the mean of its divisors is an integer number (156506724).

Almost surely, 2^21074160744 is an apocalyptic number.

21074160744 is a gapful number since it is divisible by the number (24) 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 21074160744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37561613760).

21074160744 is an abundant number, since it is smaller than the sum of its proper divisors (54049066776).

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

21074160744 is a wasteful number, since it uses less digits than its factorization.

21074160744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 21074160744 in words is "twenty-one billion, seventy-four million, one hundred sixty thousand, seven hundred forty-four".