44416667147400 has 240 divisors, whose sum is σ = 154271713681140. Its totient is φ = 11843980185600.

The previous prime is 44416667147383. The next prime is 44416667147467. The reversal of 44416667147400 is 474176661444.

It can be written as a sum of positive squares in 6 ways, for example, as 33861017036484 + 10555650110916 = 5819022^2 + 3248946^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 674162460 + ... + 674228340.

Almost surely, 2^{44416667147400} is an apocalyptic number.

44416667147400 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 44416667147400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77135856840570).

44416667147400 is an abundant number, since it is smaller than the sum of its proper divisors (109855046533740).

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

44416667147400 is a wasteful number, since it uses less digits than its factorization.

44416667147400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107526 (or 107508 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 44416667147400 in words is "forty-four trillion, four hundred sixteen billion, six hundred sixty-seven million, one hundred forty-seven thousand, four hundred".