4000272518880 has 960 divisors, whose sum is σ = 15617368166400. Its totient is φ = 956238151680.

The previous prime is 4000272518867. The next prime is 4000272518927. The reversal of 4000272518880 is 888152720004.

It is a happy number.

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

It is a congruent number.

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, 3850117401 + ... + 3850118439.

It is an arithmetic number, because the mean of its divisors is an integer number (16268091840).

Almost surely, 2^{4000272518880} is an apocalyptic number.

4000272518880 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 4000272518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808684083200).

4000272518880 is an abundant number, since it is smaller than the sum of its proper divisors (11617095647520).

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

4000272518880 is a wasteful number, since it uses less digits than its factorization.

4000272518880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 4000272518880 in words is "four trillion, two hundred seventy-two million, five hundred eighteen thousand, eight hundred eighty".