4030409104400 has 480 divisors, whose sum is σ = 11705054542848. Its totient is φ = 1305044582400.

The previous prime is 4030409104363. The next prime is 4030409104409. The reversal of 4030409104400 is 44019040304.

It is not an unprimeable number, because it can be changed into a prime (4030409104409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425458064 + ... + 425467536.

Almost surely, 2^{4030409104400} is an apocalyptic number.

4030409104400 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 4030409104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852527271424).

4030409104400 is an abundant number, since it is smaller than the sum of its proper divisors (7674645438448).

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

4030409104400 is a wasteful number, since it uses less digits than its factorization.

4030409104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9659 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 4030409104400 in words is "four trillion, thirty billion, four hundred nine million, one hundred four thousand, four hundred".