40011334000 has 160 divisors (see below), whose sum is σ = 105702734592. Its totient is φ = 14527520000.

The previous prime is 40011333961. The next prime is 40011334003. The reversal of 40011334000 is 43311004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40011334003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24001167 + ... + 24002833.

Almost surely, 2^40011334000 is an apocalyptic number.

40011334000 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 40011334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52851367296).

40011334000 is an abundant number, since it is smaller than the sum of its proper divisors (65691400592).

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

40011334000 is a wasteful number, since it uses less digits than its factorization.

40011334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 40011334000 its reverse (43311004), we get a palindrome (40054645004).

The spelling of 40011334000 in words is "forty billion, eleven million, three hundred thirty-four thousand".