4991188356000 has 3072 divisors, whose sum is σ = 24636358656000. Its totient is φ = 949916160000.

The previous prime is 4991188355977. The next prime is 4991188356079. The reversal of 4991188356000 is 6538811994.

4991188356000 is a `hidden beast` number, since 499 + 1 + 18 + 83 + 5 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×4991188356000² (a number of 26 digits) contains 22 as substring.

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 511 ways as a sum of consecutive naturals, for example, 4898123491 + ... + 4898124509.

It is an arithmetic number, because the mean of its divisors is an integer number (8019648000).

Almost surely, 2^{4991188356000} is an apocalyptic number.

4991188356000 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 4991188356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12318179328000).

4991188356000 is an abundant number, since it is smaller than the sum of its proper divisors (19645170300000).

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

4991188356000 is a wasteful number, since it uses less digits than its factorization.

4991188356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 4991188356000 in words is "four trillion, nine hundred ninety-one billion, one hundred eighty-eight million, three hundred fifty-six thousand".