3185460401280 has 128 divisors (see below), whose sum is σ = 10158925089600. Its totient is φ = 849015214080.

The previous prime is 3185460401239. The next prime is 3185460401287. The reversal of 3185460401280 is 821040645813.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3185460401287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3277926 + ... + 4137114.

Almost surely, 2^{3185460401280} is an apocalyptic number.

3185460401280 is a gapful number since it is divisible by the number (30) 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 3185460401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079462544800).

3185460401280 is an abundant number, since it is smaller than the sum of its proper divisors (6973464688320).

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

3185460401280 is a wasteful number, since it uses less digits than its factorization.

3185460401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861142 (or 861130 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 3185460401280 in words is "three trillion, one hundred eighty-five billion, four hundred sixty million, four hundred one thousand, two hundred eighty".