5338188455040 has 1024 divisors, whose sum is σ = 22101092352000. Its totient is φ = 1192568832000.

The previous prime is 5338188454993. The next prime is 5338188455053. The reversal of 5338188455040 is 405548818335.

5338188455040 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 1 + 8 + 84 + 550 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 965137075 + ... + 965142605.

It is an arithmetic number, because the mean of its divisors is an integer number (21583098000).

Almost surely, 2^{5338188455040} 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 5338188455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050546176000).

5338188455040 is an abundant number, since it is smaller than the sum of its proper divisors (16762903896960).

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

5338188455040 is a wasteful number, since it uses less digits than its factorization.

5338188455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 5338188455040 in words is "five trillion, three hundred thirty-eight billion, one hundred eighty-eight million, four hundred fifty-five thousand, forty".