44678430074880 has 1152 divisors, whose sum is σ = 184749115299840. Its totient is φ = 10143984844800.

The previous prime is 44678430074827. The next prime is 44678430074891. The reversal of 44678430074880 is 8847003487644.

44678430074880 is a `hidden beast` number, since 4 + 46 + 7 + 84 + 30 + 0 + 7 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×44678430074880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2630145747 + ... + 2630162733.

It is an arithmetic number, because the mean of its divisors is an integer number (160372495920).

Almost surely, 2^{44678430074880} is an apocalyptic number.

44678430074880 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 44678430074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92374557649920).

44678430074880 is an abundant number, since it is smaller than the sum of its proper divisors (140070685224960).

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

44678430074880 is a wasteful number, since it uses less digits than its factorization.

44678430074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17187 (or 17155 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 44678430074880 in words is "forty-four trillion, six hundred seventy-eight billion, four hundred thirty million, seventy-four thousand, eight hundred eighty".