4000800040000 has 315 divisors, whose sum is σ = 10132400474427. Its totient is φ = 1566876672000.

The previous prime is 4000800039997. The next prime is 4000800040009. The reversal of 4000800040000 is 400080004.

The square root of 4000800040000 is 2000200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 3935525921856 + 65274118144 = 1983816^2 + 255488^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4000800040009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29202919932 + ... + 29202920068.

Almost surely, 2^{4000800040000} is an apocalyptic number.

4000800040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4000800040000 is the 2000200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000800040000

4000800040000 is an abundant number, since it is smaller than the sum of its proper divisors (6131600434427).

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

4000800040000 is an frugal number, since it uses more digits than its factorization.

4000800040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 4000800040000 by its sum of digits (16), we get a square (64012800640000 = 8000800²).

4000800040000 divided by its sum of digits (16) gives a square (250050002500 = 500050²).

4000800040000 divided by its reverse (400080004) gives a 4-th power (10000 = 10⁴).

The spelling of 4000800040000 in words is "four trillion, eight hundred million, forty thousand".