4006645484160 has 512 divisors, whose sum is σ = 14895098449920. Its totient is φ = 905288417280.

The previous prime is 4006645484141. The next prime is 4006645484189. The reversal of 4006645484160 is 614845466004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36926949 + ... + 37035291.

It is an arithmetic number, because the mean of its divisors is an integer number (29091989160).

Almost surely, 2^{4006645484160} is an apocalyptic number.

4006645484160 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 4006645484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447549224960).

4006645484160 is an abundant number, since it is smaller than the sum of its proper divisors (10888452965760).

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

4006645484160 is a wasteful number, since it uses less digits than its factorization.

4006645484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108496 (or 108484 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 4006645484160 in words is "four trillion, six billion, six hundred forty-five million, four hundred eighty-four thousand, one hundred sixty".