40111001000 has 64 divisors (see below), whose sum is σ = 107268295680. Its totient is φ = 13752340800.

The previous prime is 40111000997. The next prime is 40111001003. The reversal of 40111001000 is 10011104.

40111001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40111000997) and next prime (40111001003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (40111001003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2858072 + ... + 2872071.

It is an arithmetic number, because the mean of its divisors is an integer number (1676067120).

Almost surely, 2^40111001000 is an apocalyptic number.

40111001000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40111001000 is an abundant number, since it is smaller than the sum of its proper divisors (67157294680).

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

40111001000 is a wasteful number, since it uses less digits than its factorization.

40111001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730171 (or 5730157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 40111001000 its reverse (10011104), we get a palindrome (40121012104).

The spelling of 40111001000 in words is "forty billion, one hundred eleven million, one thousand".