4034414100400 has 120 divisors (see below), whose sum is σ = 10147718785680. Its totient is φ = 1539345669120.

The previous prime is 4034414100391. The next prime is 4034414100401. The reversal of 4034414100400 is 40014144304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4034414100401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132347 + ... + 3057946.

It is an arithmetic number, because the mean of its divisors is an integer number (84564323214).

Almost surely, 2^{4034414100400} is an apocalyptic number.

4034414100400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034414100400 is an abundant number, since it is smaller than the sum of its proper divisors (6113304685280).

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

4034414100400 is a wasteful number, since it uses less digits than its factorization.

4034414100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190423 (or 4190412 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4034414100400 its reverse (40014144304), we get a palindrome (4074428244704).

The spelling of 4034414100400 in words is "four trillion, thirty-four billion, four hundred fourteen million, one hundred thousand, four hundred".