44111148480 has 1176 divisors, whose sum is σ = 194830677648. Its totient is φ = 9447653376.

The previous prime is 44111148469. The next prime is 44111148481. The reversal of 44111148480 is 8484111144.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-4 number, since 4×44111148480⁴ (a number of 44 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44111148481) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 194322127 + ... + 194322353.

Almost surely, 2^44111148480 is an apocalyptic number.

44111148480 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 44111148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97415338824).

44111148480 is an abundant number, since it is smaller than the sum of its proper divisors (150719529168).

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

44111148480 is a wasteful number, since it uses less digits than its factorization.

44111148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

It can be divided in two parts, 441 and 11148480, that added together give a square (11148921 = 3339²).

The spelling of 44111148480 in words is "forty-four billion, one hundred eleven million, one hundred forty-eight thousand, four hundred eighty".