44002362778416 has 480 divisors, whose sum is σ = 145078514380800. Its totient is φ = 12191913676800.

The previous prime is 44002362778399. The next prime is 44002362778469. The reversal of 44002362778416 is 61487726320044.

44002362778416 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 2 + 3 + 627 + 7 + 8 + 4 + 1 + 6 = 666.

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, 1070153890 + ... + 1070195006.

It is an arithmetic number, because the mean of its divisors is an integer number (302246904960).

Almost surely, 2^{44002362778416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44002362778416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72539257190400).

44002362778416 is an abundant number, since it is smaller than the sum of its proper divisors (101076151602384).

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

44002362778416 is a wasteful number, since it uses less digits than its factorization.

44002362778416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41457 (or 41448 counting only the distinct ones).

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

The spelling of 44002362778416 in words is "forty-four trillion, two billion, three hundred sixty-two million, seven hundred seventy-eight thousand, four hundred sixteen".