4321211142400 has 108 divisors (see below), whose sum is σ = 10699044412644. Its totient is φ = 1727939584000.

The previous prime is 4321211142331. The next prime is 4321211142407. The reversal of 4321211142400 is 42411121234.

It can be written as a sum of positive squares in 6 ways, for example, as 48689070336 + 4272522072064 = 220656^2 + 2067008^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4321211142407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20509590 + ... + 20719210.

It is an arithmetic number, because the mean of its divisors is an integer number (99065226043).

Almost surely, 2^{4321211142400} is an apocalyptic number.

4321211142400 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 4321211142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349522206322).

4321211142400 is an abundant number, since it is smaller than the sum of its proper divisors (6377833270244).

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

4321211142400 is a wasteful number, since it uses less digits than its factorization.

4321211142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212868 (or 212849 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 4321211142400 its reverse (42411121234), we get a palindrome (4363622263634).

The spelling of 4321211142400 in words is "four trillion, three hundred twenty-one billion, two hundred eleven million, one hundred forty-two thousand, four hundred".