4228950297600 has 1056 divisors, whose sum is σ = 17797525885440. Its totient is φ = 963946414080.

The previous prime is 4228950297581. The next prime is 4228950297619. The reversal of 4228950297600 is 67920598224.

4228950297600 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 9 + 5 + 0 + 29 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4228950297581) and next prime (4228950297619).

It is a super-2 number, since 2×4228950297600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2143410214 + ... + 2143412186.

Almost surely, 2^{4228950297600} is an apocalyptic number.

4228950297600 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 4228950297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898762942720).

4228950297600 is an abundant number, since it is smaller than the sum of its proper divisors (13568575587840).

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

4228950297600 is a wasteful number, since it uses less digits than its factorization.

4228950297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4228950297600 in words is "four trillion, two hundred twenty-eight billion, nine hundred fifty million, two hundred ninety-seven thousand, six hundred".