40111350000 has 240 divisors, whose sum is σ = 133998611040. Its totient is φ = 10326400000.

The previous prime is 40111349983. The next prime is 40111350001. The reversal of 40111350000 is 5311104.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40111350001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4345390 + ... + 4354610.

It is an arithmetic number, because the mean of its divisors is an integer number (558327546).

Almost surely, 2^40111350000 is an apocalyptic number.

40111350000 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 40111350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66999305520).

40111350000 is an abundant number, since it is smaller than the sum of its proper divisors (93887261040).

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

40111350000 is an equidigital number, since it uses as much as digits as its factorization.

40111350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 40111350000 its reverse (5311104), we get a palindrome (40116661104).

The spelling of 40111350000 in words is "forty billion, one hundred eleven million, three hundred fifty thousand".