4425205013400 has 192 divisors, whose sum is σ = 13886315326080. Its totient is φ = 1165651302400.

The previous prime is 4425205013387. The next prime is 4425205013401. The reversal of 4425205013400 is 43105025244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4425205013401) 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 47 ways as a sum of consecutive naturals, for example, 22178080 + ... + 22376720.

It is an arithmetic number, because the mean of its divisors is an integer number (72324558990).

Almost surely, 2^{4425205013400} is an apocalyptic number.

4425205013400 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 4425205013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943157663040).

4425205013400 is an abundant number, since it is smaller than the sum of its proper divisors (9461110312680).

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

4425205013400 is a wasteful number, since it uses less digits than its factorization.

4425205013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199114 (or 199105 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 4425205013400 in words is "four trillion, four hundred twenty-five billion, two hundred five million, thirteen thousand, four hundred".