3221460401250 has 960 divisors, whose sum is σ = 10483120327680. Its totient is φ = 641934720000.

The previous prime is 3221460401239. The next prime is 3221460401251. The reversal of 3221460401250 is 521040641223.

It is a super-2 number, since 2×3221460401250² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3221460401251) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 52810826220 + ... + 52810826280.

It is an arithmetic number, because the mean of its divisors is an integer number (10919917008).

Almost surely, 2^{3221460401250} is an apocalyptic number.

3221460401250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221460401250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241560163840).

3221460401250 is an abundant number, since it is smaller than the sum of its proper divisors (7261659926430).

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

3221460401250 is a wasteful number, since it uses less digits than its factorization.

3221460401250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 3221460401250 in words is "three trillion, two hundred twenty-one billion, four hundred sixty million, four hundred one thousand, two hundred fifty".