40040011114000 has 320 divisors, whose sum is σ = 102608700480000. Its totient is φ = 15069664051200.

The previous prime is 40040011113989. The next prime is 40040011114049. The reversal of 40040011114000 is 41111004004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4484261536 + ... + 4484270464.

It is an arithmetic number, because the mean of its divisors is an integer number (320652189000).

Almost surely, 2^{40040011114000} is an apocalyptic number.

40040011114000 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 40040011114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51304350240000).

40040011114000 is an abundant number, since it is smaller than the sum of its proper divisors (62568689366000).

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

40040011114000 is a wasteful number, since it uses less digits than its factorization.

40040011114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9763 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 40040011114000 its reverse (41111004004), we get a palindrome (40081122118004).

The spelling of 40040011114000 in words is "forty trillion, forty billion, eleven million, one hundred fourteen thousand".