4241751450400 has 144 divisors (see below), whose sum is σ = 10965674401920. Its totient is φ = 1596695040000.

The previous prime is 4241751450359. The next prime is 4241751450421. The reversal of 4241751450400 is 40541571424.

It is a self number, because there is not a number n which added to its sum of digits gives 4241751450400.

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, 152836525 + ... + 152864275.

It is an arithmetic number, because the mean of its divisors is an integer number (76150516680).

Almost surely, 2^{4241751450400} is an apocalyptic number.

4241751450400 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 4241751450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482837200960).

4241751450400 is an abundant number, since it is smaller than the sum of its proper divisors (6723922951520).

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

4241751450400 is a wasteful number, since it uses less digits than its factorization.

4241751450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39027 (or 39014 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 4241751450400 in words is "four trillion, two hundred forty-one billion, seven hundred fifty-one million, four hundred fifty thousand, four hundred".