4214451552000 has 1152 divisors, whose sum is σ = 15214863605760. Its totient is φ = 1031115571200.

The previous prime is 4214451551971. The next prime is 4214451552061. The reversal of 4214451552000 is 2551544124.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6453983674 + ... + 6453984326.

It is an arithmetic number, because the mean of its divisors is an integer number (13207346880).

Almost surely, 2^{4214451552000} is an apocalyptic number.

4214451552000 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 4214451552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607431802880).

4214451552000 is an abundant number, since it is smaller than the sum of its proper divisors (11000412053760).

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

4214451552000 is a wasteful number, since it uses less digits than its factorization.

4214451552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 4214451552000 in words is "four trillion, two hundred fourteen billion, four hundred fifty-one million, five hundred fifty-two thousand".