44929049760 has 1152 divisors, whose sum is σ = 196516938240. Its totient is φ = 9385279488.

The previous prime is 44929049749. The next prime is 44929049761. The reversal of 44929049760 is 6794092944.

44929049760 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 90 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 44929049697 and 44929049706.

It is not an unprimeable number, because it can be changed into a prime (44929049761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 463186032 + ... + 463186128.

It is an arithmetic number, because the mean of its divisors is an integer number (170587620).

Almost surely, 2^44929049760 is an apocalyptic number.

44929049760 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 44929049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98258469120).

44929049760 is an abundant number, since it is smaller than the sum of its proper divisors (151587888480).

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

44929049760 is a wasteful number, since it uses less digits than its factorization.

44929049760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

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

The spelling of 44929049760 in words is "forty-four billion, nine hundred twenty-nine million, forty-nine thousand, seven hundred sixty".