4220944946400 has 2592 divisors, whose sum is σ = 18942434794080. Its totient is φ = 811148083200.

The previous prime is 4220944946311. The next prime is 4220944946437. The reversal of 4220944946400 is 46494490224.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4220944946400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 136159514385 + ... + 136159514415.

It is an arithmetic number, because the mean of its divisors is an integer number (7308038115).

Almost surely, 2^{4220944946400} is an apocalyptic number.

4220944946400 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 4220944946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9471217397040).

4220944946400 is an abundant number, since it is smaller than the sum of its proper divisors (14721489847680).

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

4220944946400 is a wasteful number, since it uses less digits than its factorization.

4220944946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 4220944946400 in words is "four trillion, two hundred twenty billion, nine hundred forty-four million, nine hundred forty-six thousand, four hundred".