4461801926400 has 3456 divisors, whose sum is σ = 21228987924480. Its totient is φ = 902961561600.

The previous prime is 4461801926377. The next prime is 4461801926411. The reversal of 4461801926400 is 46291081644.

4461801926400 is a `hidden beast` number, since 4 + 4 + 618 + 0 + 1 + 9 + 26 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39484972744 + ... + 39484972856.

Almost surely, 2^{4461801926400} is an apocalyptic number.

4461801926400 is a gapful number since it is divisible by the number (40) 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 4461801926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614493962240).

4461801926400 is an abundant number, since it is smaller than the sum of its proper divisors (16767185998080).

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

4461801926400 is a wasteful number, since it uses less digits than its factorization.

4461801926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4461801926400 in words is "four trillion, four hundred sixty-one billion, eight hundred one million, nine hundred twenty-six thousand, four hundred".