4047981134400 has 1344 divisors, whose sum is σ = 17170913689600. Its totient is φ = 908605071360.

The previous prime is 4047981134381. The next prime is 4047981134401. The reversal of 4047981134400 is 44311897404.

4047981134400 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 98 + 113 + 440 + 0 = 666.

4047981134400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4047981134401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4186122717 + ... + 4186123683.

Almost surely, 2^{4047981134400} is an apocalyptic number.

4047981134400 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 4047981134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585456844800).

4047981134400 is an abundant number, since it is smaller than the sum of its proper divisors (13122932555200).

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

4047981134400 is a wasteful number, since it uses less digits than its factorization.

4047981134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4047981134400 in words is "four trillion, forty-seven billion, nine hundred eighty-one million, one hundred thirty-four thousand, four hundred".