4135675544000 has 1344 divisors, whose sum is σ = 14616166376448. Its totient is φ = 1119264768000.

The previous prime is 4135675543991. The next prime is 4135675544003. The reversal of 4135675544000 is 4455765314.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135675544003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2314311107 + ... + 2314312893.

It is an arithmetic number, because the mean of its divisors is an integer number (10875123792).

Almost surely, 2^{4135675544000} is an apocalyptic number.

4135675544000 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 4135675544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308083188224).

4135675544000 is an abundant number, since it is smaller than the sum of its proper divisors (10480490832448).

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

4135675544000 is a wasteful number, since it uses less digits than its factorization.

4135675544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 44.

The spelling of 4135675544000 in words is "four trillion, one hundred thirty-five billion, six hundred seventy-five million, five hundred forty-four thousand".