4044261312 has 280 divisors, whose sum is σ = 14756745696. Its totient is φ = 1066493952.

The previous prime is 4044261269. The next prime is 4044261349. The reversal of 4044261312 is 2131624404.

It is a happy number.

4044261312 is a `hidden beast` number, since 4 + 0 + 4 + 42 + 613 + 1 + 2 = 666.

It is a super-2 number, since 2×4044261312² = 32712099119479922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 467458 + ... + 476030.

Almost surely, 2^4044261312 is an apocalyptic number.

4044261312 is a gapful number since it is divisible by the number (42) 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 4044261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378372848).

4044261312 is an abundant number, since it is smaller than the sum of its proper divisors (10712484384).

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

4044261312 is a wasteful number, since it uses less digits than its factorization.

4044261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4044261312 is about 63594.5069325960. The cubic root of 4044261312 is about 1593.2346255540.

Adding to 4044261312 its reverse (2131624404), we get a palindrome (6175885716).

It can be divided in two parts, 4044 and 261312, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 4044261312 in words is "four billion, forty-four million, two hundred sixty-one thousand, three hundred twelve".