4426029216000 has 3456 divisors, whose sum is σ = 20264281669632. Its totient is φ = 940584960000.

The previous prime is 4426029215837. The next prime is 4426029216013. The reversal of 4426029216000 is 6129206244.

4426029216000 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 0 + 29 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72557855970 + ... + 72557856030.

Almost surely, 2^{4426029216000} is an apocalyptic number.

4426029216000 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 4426029216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10132140834816).

4426029216000 is an abundant number, since it is smaller than the sum of its proper divisors (15838252453632).

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

4426029216000 is an equidigital number, since it uses as much as digits as its factorization.

4426029216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4426029216000 in words is "four trillion, four hundred twenty-six billion, twenty-nine million, two hundred sixteen thousand".