4001552640000 has 720 divisors, whose sum is σ = 14594860540260. Its totient is φ = 1055784960000.

The previous prime is 4001552639989. The next prime is 4001552640049. The reversal of 4001552640000 is 462551004.

4001552640000 is a `hidden beast` number, since 4 + 0 + 0 + 15 + 5 + 2 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 28515050496 + 3973037589504 = 168864^2 + 1993248^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1117438210 + ... + 1117441790.

Almost surely, 2^{4001552640000} is an apocalyptic number.

4001552640000 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 4001552640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297430270130).

4001552640000 is an abundant number, since it is smaller than the sum of its proper divisors (10593307900260).

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

4001552640000 is an equidigital number, since it uses as much as digits as its factorization.

4001552640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 4001552640000 in words is "four trillion, one billion, five hundred fifty-two million, six hundred forty thousand".