44038267893312 has 1792 divisors, whose sum is σ = 156992853196800. Its totient is φ = 10788161126400.

The previous prime is 44038267893253. The next prime is 44038267893343. The reversal of 44038267893312 is 21339876283044.

It is a happy number.

It is a super-2 number, since 2×44038267893312² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 138921980578 + ... + 138921980894.

Almost surely, 2^{44038267893312} is an apocalyptic number.

44038267893312 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 44038267893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78496426598400).

44038267893312 is an abundant number, since it is smaller than the sum of its proper divisors (112954585303488).

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

44038267893312 is a wasteful number, since it uses less digits than its factorization.

44038267893312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 44038267893312 in words is "forty-four trillion, thirty-eight billion, two hundred sixty-seven million, eight hundred ninety-three thousand, three hundred twelve".