40002000000 has 448 divisors, whose sum is σ = 136263880800. Its totient is φ = 10393600000.

The previous prime is 40001999987. The next prime is 40002000029. The reversal of 40002000000 is 20004.

It is a Harshad number since it is a multiple of its sum of digits (6).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 353999944 + ... + 354000056.

Almost surely, 2^40002000000 is an apocalyptic number.

40002000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68131940400).

40002000000 is an abundant number, since it is smaller than the sum of its proper divisors (96261880800).

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

40002000000 is an frugal number, since it uses more digits than its factorization.

40002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

Adding to 40002000000 its reverse (20004), we get a palindrome (40002020004).

It can be divided in two parts, 4000 and 2000000, that multiplied together give a cube (8000000000 = 2000³).

The spelling of 40002000000 in words is "forty billion, two million", and thus it is an aban number, an eban number, and an uban number.