4005001400 has 48 divisors (see below), whose sum is σ = 9316989240. Its totient is φ = 1601078400.

The previous prime is 4005001387. The next prime is 4005001417. The reversal of 4005001400 is 41005004.

It is a congruent number.

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, 421502 + ... + 430898.

Almost surely, 2^4005001400 is an apocalyptic number.

4005001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005001400 is an abundant number, since it is smaller than the sum of its proper divisors (5311987840).

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

4005001400 is a wasteful number, since it uses less digits than its factorization.

4005001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11544 (or 11535 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4005001400 is about 63285.0803902468. The cubic root of 4005001400 is about 1588.0623787165.

Adding to 4005001400 its reverse (41005004), we get a palindrome (4046006404).

The spelling of 4005001400 in words is "four billion, five million, one thousand, four hundred".