4008990101760 has 1440 divisors, whose sum is σ = 17331516195840. Its totient is φ = 864370704384.

The previous prime is 4008990101759. The next prime is 4008990101789. The reversal of 4008990101760 is 671010998004.

It is a happy number.

4008990101760 is a `hidden beast` number, since 400 + 89 + 9 + 0 + 101 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4233357607 + ... + 4233358553.

It is an arithmetic number, because the mean of its divisors is an integer number (12035775136).

Almost surely, 2^{4008990101760} is an apocalyptic number.

4008990101760 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 4008990101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8665758097920).

4008990101760 is an abundant number, since it is smaller than the sum of its proper divisors (13322526094080).

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

4008990101760 is a wasteful number, since it uses less digits than its factorization.

4008990101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 4008990101760 in words is "four trillion, eight billion, nine hundred ninety million, one hundred one thousand, seven hundred sixty".