4000000400 has 60 divisors (see below), whose sum is σ = 10483648944. Its totient is φ = 1454544000.

The previous prime is 4000000387. The next prime is 4000000427. The reversal of 4000000400 is 40000004.

It is a happy number.

4000000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450146 + ... + 458945.

Almost surely, 2^4000000400 is an apocalyptic number.

4000000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000000400 is an abundant number, since it is smaller than the sum of its proper divisors (6483648544).

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

4000000400 is a wasteful number, since it uses less digits than its factorization.

4000000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909120 (or 909109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4000000400 is about 63245.5563656452. The cubic root of 4000000400 is about 1587.4011048816.

Adding to 4000000400 its reverse (40000004), we get a palindrome (4040000404).

4000000400 divided by its reverse (40000004) gives a square (100 = 10²).

It can be divided in two parts, 4000000 and 400, that multiplied together give a 4-th power (1600000000 = 200⁴).

The spelling of 4000000400 in words is "four billion, four hundred", and thus it is an aban number.