4007040400 has 60 divisors (see below), whose sum is σ = 10502100144. Its totient is φ = 1457104000.

The previous prime is 4007040371. The next prime is 4007040469. The reversal of 4007040400 is 40407004.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450946 + ... + 459745.

Almost surely, 2^4007040400 is an apocalyptic number.

4007040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007040400 is an abundant number, since it is smaller than the sum of its proper divisors (6495059744).

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

4007040400 is a wasteful number, since it uses less digits than its factorization.

4007040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910720 (or 910709 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 4007040400 is about 63301.1879825332. The cubic root of 4007040400 is about 1588.3318342888.

Adding to 4007040400 its reverse (40407004), we get a palindrome (4047447404).

The spelling of 4007040400 in words is "four billion, seven million, forty thousand, four hundred".