40008000400 has 135 divisors (see below), whose sum is σ = 98170494681. Its totient is φ = 15668766720.

The previous prime is 40008000353. The next prime is 40008000419. The reversal of 40008000400 is 400080004.

The square root of 40008000400 is 200020.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19451323024 + 20556677376 = 139468^2 + 143376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 292029132 + ... + 292029268.

Almost surely, 2^40008000400 is an apocalyptic number.

40008000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40008000400 is the 200020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40008000400

40008000400 is an abundant number, since it is smaller than the sum of its proper divisors (58162494281).

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

40008000400 is an equidigital number, since it uses as much as digits as its factorization.

40008000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 217 counting only the distinct ones).

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

Multiplying 40008000400 by its sum of digits (16), we get a square (640128006400 = 800080²).

40008000400 divided by its sum of digits (16) gives a square (2500500025 = 50005²).

Adding to 40008000400 its reverse (400080004), we get a palindrome (40408080404).

40008000400 divided by its reverse (400080004) gives a square (100 = 10²).

The spelling of 40008000400 in words is "forty billion, eight million, four hundred", and thus it is an aban number.