4223505122400 has 144 divisors (see below), whose sum is σ = 13883623922448. Its totient is φ = 1115116800000.

The previous prime is 4223505122399. The next prime is 4223505122423. The reversal of 4223505122400 is 42215053224.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8469451 + ... + 8954250.

It is an arithmetic number, because the mean of its divisors is an integer number (96414055017).

Almost surely, 2^{4223505122400} is an apocalyptic number.

4223505122400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4223505122400 is an abundant number, since it is smaller than the sum of its proper divisors (9660118800048).

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

4223505122400 is a wasteful number, since it uses less digits than its factorization.

4223505122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17423825 (or 17423812 counting only the distinct ones).

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

The spelling of 4223505122400 in words is "four trillion, two hundred twenty-three billion, five hundred five million, one hundred twenty-two thousand, four hundred".