44133949440 has 448 divisors, whose sum is σ = 179358462720. Its totient is φ = 10085990400.

The previous prime is 44133949411. The next prime is 44133949469. The reversal of 44133949440 is 4494933144.

44133949440 is a `hidden beast` number, since 441 + 33 + 94 + 94 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (44133949411) and next prime (44133949469).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7738590 + ... + 7744290.

Almost surely, 2^44133949440 is an apocalyptic number.

44133949440 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 44133949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89679231360).

44133949440 is an abundant number, since it is smaller than the sum of its proper divisors (135224513280).

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

44133949440 is an equidigital number, since it uses as much as digits as its factorization.

44133949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 44133949440 in words is "forty-four billion, one hundred thirty-three million, nine hundred forty-nine thousand, four hundred forty".