40114500000 has 336 divisors, whose sum is σ = 134660776320. Its totient is φ = 10451200000.

The previous prime is 40114499977. The next prime is 40114500011. The reversal of 40114500000 is 541104.

It is a super-2 number, since 2×40114500000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 70499716 + ... + 70500284.

It is an arithmetic number, because the mean of its divisors is an integer number (400776120).

Almost surely, 2^40114500000 is an apocalyptic number.

40114500000 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 40114500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67330388160).

40114500000 is an abundant number, since it is smaller than the sum of its proper divisors (94546276320).

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

40114500000 is an frugal number, since it uses more digits than its factorization.

40114500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The spelling of 40114500000 in words is "forty billion, one hundred fourteen million, five hundred thousand".