5042958649344 has 2304 divisors, whose sum is σ = 20691399456000. Its totient is φ = 1195030609920.

The previous prime is 5042958649319. The next prime is 5042958649373. The reversal of 5042958649344 is 4439468592405.

5042958649344 is a `hidden beast` number, since 5 + 0 + 4 + 2 + 9 + 586 + 4 + 9 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 18747058042 + ... + 18747058310.

It is an arithmetic number, because the mean of its divisors is an integer number (8980642125).

Almost surely, 2^{5042958649344} is an apocalyptic number.

5042958649344 is a gapful number since it is divisible by the number (54) 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 5042958649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345699728000).

5042958649344 is an abundant number, since it is smaller than the sum of its proper divisors (15648440806656).

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

5042958649344 is a wasteful number, since it uses less digits than its factorization.

5042958649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 5042958649344 in words is "five trillion, forty-two billion, nine hundred fifty-eight million, six hundred forty-nine thousand, three hundred forty-four".