4020744873600 has 1152 divisors, whose sum is σ = 18312085034880. Its totient is φ = 848318054400.

The previous prime is 4020744873583. The next prime is 4020744873611. The reversal of 4020744873600 is 63784470204.

4020744873600 is a `hidden beast` number, since 4 + 0 + 207 + 4 + 4 + 87 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 70733190 + ... + 70790010.

Almost surely, 2^{4020744873600} is an apocalyptic number.

4020744873600 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 4020744873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156042517440).

4020744873600 is an abundant number, since it is smaller than the sum of its proper divisors (14291340161280).

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

4020744873600 is a wasteful number, since it uses less digits than its factorization.

4020744873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56880 (or 56851 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 4020744873600 in words is "four trillion, twenty billion, seven hundred forty-four million, eight hundred seventy-three thousand, six hundred".