4944358379520 has 1248 divisors, whose sum is σ = 20874729687552. Its totient is φ = 1056700366848.

The previous prime is 4944358379491. The next prime is 4944358379561. The reversal of 4944358379520 is 259738534494.

4944358379520 is a `hidden beast` number, since 4 + 9 + 4 + 4 + 35 + 8 + 3 + 79 + 520 = 666.

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, 3794595189 + ... + 3794596491.

It is an arithmetic number, because the mean of its divisors is an integer number (16726546224).

Almost surely, 2^{4944358379520} is an apocalyptic number.

4944358379520 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 4944358379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10437364843776).

4944358379520 is an abundant number, since it is smaller than the sum of its proper divisors (15930371308032).

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

4944358379520 is a wasteful number, since it uses less digits than its factorization.

4944358379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 4944358379520 in words is "four trillion, nine hundred forty-four billion, three hundred fifty-eight million, three hundred seventy-nine thousand, five hundred twenty".