40014114000 has 640 divisors, whose sum is σ = 159109816320. Its totient is φ = 8446464000.

The previous prime is 40014113977. The next prime is 40014114029. The reversal of 40014114000 is 41141004.

It is a super-2 number, since 2×40014114000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32717389 + ... + 32718611.

It is an arithmetic number, because the mean of its divisors is an integer number (248609088).

Almost surely, 2^40014114000 is an apocalyptic number.

40014114000 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 40014114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79554908160).

40014114000 is an abundant number, since it is smaller than the sum of its proper divisors (119095702320).

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

40014114000 is a wasteful number, since it uses less digits than its factorization.

40014114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 40014114000 its reverse (41141004), we get a palindrome (40055255004).

The spelling of 40014114000 in words is "forty billion, fourteen million, one hundred fourteen thousand".