4030040414400 has 1344 divisors, whose sum is σ = 18233069675520. Its totient is φ = 752069836800.

The previous prime is 4030040414317. The next prime is 4030040414401. The reversal of 4030040414400 is 44140400304.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4030040414401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177766266 + ... + 177788934.

It is an arithmetic number, because the mean of its divisors is an integer number (13566272080).

Almost surely, 2^{4030040414400} is an apocalyptic number.

4030040414400 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 4030040414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116534837760).

4030040414400 is an abundant number, since it is smaller than the sum of its proper divisors (14203029261120).

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

4030040414400 is a wasteful number, since it uses less digits than its factorization.

4030040414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22762 (or 22747 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4030040414400 its reverse (44140400304), we get a palindrome (4074180814704).

The spelling of 4030040414400 in words is "four trillion, thirty billion, forty million, four hundred fourteen thousand, four hundred".