4014002000 has 40 divisors (see below), whose sum is σ = 9705861672. Its totient is φ = 1605600000.

The previous prime is 4014001993. The next prime is 4014002029. The reversal of 4014002000 is 2004104.

4014002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 391406656 + 3622595344 = 19784^2 + 60188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4014002000² = 32224424112008000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001501 + ... + 1005500.

Almost surely, 2^4014002000 is an apocalyptic number.

4014002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014002000 is an abundant number, since it is smaller than the sum of its proper divisors (5691859672).

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

4014002000 is a wasteful number, since it uses less digits than its factorization.

4014002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007024 (or 2007008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4014002000 is about 63356.1520296175. The cubic root of 4014002000 is about 1589.2511273757.

Adding to 4014002000 its reverse (2004104), we get a palindrome (4016006104).

The spelling of 4014002000 in words is "four billion, fourteen million, two thousand".