4071040400 has 60 divisors (see below), whose sum is σ = 11177921472. Its totient is φ = 1395784320.

The previous prime is 4071040367. The next prime is 4071040409. The reversal of 4071040400 is 40401704.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4071040409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724172 + ... + 729771.

Almost surely, 2^4071040400 is an apocalyptic number.

4071040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4071040400 is an abundant number, since it is smaller than the sum of its proper divisors (7106881072).

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

4071040400 is a wasteful number, since it uses less digits than its factorization.

4071040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453968 (or 1453957 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 4071040400 is about 63804.7051556545. The cubic root of 4071040400 is about 1596.7434282933.

The spelling of 4071040400 in words is "four billion, seventy-one million, forty thousand, four hundred".