40014011000 has 64 divisors (see below), whose sum is σ = 93726884160. Its totient is φ = 15989520000.

The previous prime is 40014010999. The next prime is 40014011017. The reversal of 40014011000 is 11041004.

It is a super-2 number, since 2×40014011000² (a number of 22 digits) 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 15 ways as a sum of consecutive naturals, for example, 1001405 + ... + 1040595.

It is an arithmetic number, because the mean of its divisors is an integer number (1464482565).

Almost surely, 2^40014011000 is an apocalyptic number.

40014011000 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 40014011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46863442080).

40014011000 is an abundant number, since it is smaller than the sum of its proper divisors (53712873160).

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

40014011000 is a wasteful number, since it uses less digits than its factorization.

40014011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40233 (or 40219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 40014011000 its reverse (11041004), we get a palindrome (40025052004).

The spelling of 40014011000 in words is "forty billion, fourteen million, eleven thousand".