44696967120 has 480 divisors, whose sum is σ = 171986304672. Its totient is φ = 10305404928.

The previous prime is 44696967113. The next prime is 44696967157. The reversal of 44696967120 is 2176969644.

It is a happy number.

44696967120 is a `hidden beast` number, since 4 + 469 + 6 + 96 + 71 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1014295104 + 43682672016 = 31848^2 + 209004^2 .

It is a super-2 number, since 2×44696967120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40893294 + ... + 40894386.

Almost surely, 2^44696967120 is an apocalyptic number.

44696967120 is a gapful number since it is divisible by the number (40) 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 44696967120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85993152336).

44696967120 is an abundant number, since it is smaller than the sum of its proper divisors (127289337552).

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

44696967120 is a wasteful number, since it uses less digits than its factorization.

44696967120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

It can be divided in two parts, 446969 and 67120, that added together give a square (514089 = 717²).

The spelling of 44696967120 in words is "forty-four billion, six hundred ninety-six million, nine hundred sixty-seven thousand, one hundred twenty".