3011221382400 has 1944 divisors, whose sum is σ = 14259354467904. Its totient is φ = 598361702400.

The previous prime is 3011221382399. The next prime is 3011221382417. The reversal of 3011221382400 is 42831221103.

3011221382400 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 221 + 38 + 2 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 714065092 + ... + 714069308.

Almost surely, 2^{3011221382400} is an apocalyptic number.

3011221382400 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 3011221382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129677233952).

3011221382400 is an abundant number, since it is smaller than the sum of its proper divisors (11248133085504).

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

3011221382400 is a wasteful number, since it uses less digits than its factorization.

3011221382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 3011221382400 in words is "three trillion, eleven billion, two hundred twenty-one million, three hundred eighty-two thousand, four hundred".