4461413643372 has 144 divisors (see below), whose sum is σ = 12752591322240. Its totient is φ = 1207061146368.

The previous prime is 4461413643361. The next prime is 4461413643461. The reversal of 4461413643372 is 2733463141644.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25238848 + ... + 25415000.

It is an arithmetic number, because the mean of its divisors is an integer number (88559661960).

Almost surely, 2^{4461413643372} is an apocalyptic number.

4461413643372 is a gapful number since it is divisible by the number (42) 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 4461413643372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376295661120).

4461413643372 is an abundant number, since it is smaller than the sum of its proper divisors (8291177678868).

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

4461413643372 is a wasteful number, since it uses less digits than its factorization.

4461413643372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178460 (or 178451 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 48.

The spelling of 4461413643372 in words is "four trillion, four hundred sixty-one billion, four hundred thirteen million, six hundred forty-three thousand, three hundred seventy-two".