4073251053888 has 168 divisors, whose sum is σ = 12202996728832. Its totient is φ = 1347058750464.

The previous prime is 4073251053881. The next prime is 4073251053943. The reversal of 4073251053888 is 8883501523704.

4073251053888 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 25 + 1 + 0 + 538 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073251053881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943956 + ... + 3006252.

Almost surely, 2^{4073251053888} is an apocalyptic number.

4073251053888 is a gapful number since it is divisible by the number (48) 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 4073251053888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101498364416).

4073251053888 is an abundant number, since it is smaller than the sum of its proper divisors (8129745674944).

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

4073251053888 is a wasteful number, since it uses less digits than its factorization.

4073251053888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062451 (or 2062429 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 4073251053888 in words is "four trillion, seventy-three billion, two hundred fifty-one million, fifty-three thousand, eight hundred eighty-eight".