4211225319840 has 1152 divisors, whose sum is σ = 17257318686720. Its totient is φ = 844429639680.

The previous prime is 4211225319827. The next prime is 4211225319857. The reversal of 4211225319840 is 489135221124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4211225319792 and 4211225319801.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1394905851 + ... + 1394908869.

It is an arithmetic number, because the mean of its divisors is an integer number (14980311360).

Almost surely, 2^{4211225319840} is an apocalyptic number.

4211225319840 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 4211225319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8628659343360).

4211225319840 is an abundant number, since it is smaller than the sum of its proper divisors (13046093366880).

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

4211225319840 is a wasteful number, since it uses less digits than its factorization.

4211225319840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 4211225319840 in words is "four trillion, two hundred eleven billion, two hundred twenty-five million, three hundred nineteen thousand, eight hundred forty".