40114010400 has 144 divisors (see below), whose sum is σ = 130664074464. Its totient is φ = 10689454080.

The previous prime is 40114010393. The next prime is 40114010423. The reversal of 40114010400 is 401041104.

40114010400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40114010400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3899664 + ... + 3909936.

It is an arithmetic number, because the mean of its divisors is an integer number (907389406).

Almost surely, 2^40114010400 is an apocalyptic number.

40114010400 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 40114010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65332037232).

40114010400 is an abundant number, since it is smaller than the sum of its proper divisors (90550064064).

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

40114010400 is a wasteful number, since it uses less digits than its factorization.

40114010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11923 (or 11910 counting only the distinct ones).

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

Adding to 40114010400 its reverse (401041104), we get a palindrome (40515051504).

The spelling of 40114010400 in words is "forty billion, one hundred fourteen million, ten thousand, four hundred".