4404225533400 has 3072 divisors, whose sum is σ = 20981514240000. Its totient is φ = 821145600000.

The previous prime is 4404225533371. The next prime is 4404225533419. The reversal of 4404225533400 is 43355224044.

4404225533400 is a `hidden beast` number, since 4 + 40 + 4 + 22 + 553 + 3 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 22131786501 + ... + 22131786699.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920000).

Almost surely, 2^{4404225533400} is an apocalyptic number.

4404225533400 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 4404225533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490757120000).

4404225533400 is an abundant number, since it is smaller than the sum of its proper divisors (16577288706600).

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

4404225533400 is a wasteful number, since it uses less digits than its factorization.

4404225533400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 4404225533400 in words is "four trillion, four hundred four billion, two hundred twenty-five million, five hundred thirty-three thousand, four hundred".