3128081462400 has 384 divisors, whose sum is σ = 10361588155200. Its totient is φ = 829434101760.

The previous prime is 3128081462381. The next prime is 3128081462447. The reversal of 3128081462400 is 42641808213.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3128081462400² (a number of 26 digits) contains 22 as substring.

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, 2770665036 + ... + 2770666164.

Almost surely, 2^{3128081462400} is an apocalyptic number.

3128081462400 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 3128081462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180794077600).

3128081462400 is an abundant number, since it is smaller than the sum of its proper divisors (7233506692800).

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

3128081462400 is a wasteful number, since it uses less digits than its factorization.

3128081462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 3128081462400 in words is "three trillion, one hundred twenty-eight billion, eighty-one million, four hundred sixty-two thousand, four hundred".