5412419020800 has 864 divisors, whose sum is σ = 21545962532640. Its totient is φ = 1287281049600.

The previous prime is 5412419020787. The next prime is 5412419020817. The reversal of 5412419020800 is 80209142145.

5412419020800 is a `hidden beast` number, since 541 + 2 + 4 + 1 + 90 + 20 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268636327 + ... + 268656473.

It is an arithmetic number, because the mean of its divisors is an integer number (24937456635).

Almost surely, 2^{5412419020800} is an apocalyptic number.

5412419020800 is a gapful number since it is divisible by the number (50) 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 5412419020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772981266320).

5412419020800 is an abundant number, since it is smaller than the sum of its proper divisors (16133543511840).

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

5412419020800 is a wasteful number, since it uses less digits than its factorization.

5412419020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20249 (or 20221 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 5412419020800 in words is "five trillion, four hundred twelve billion, four hundred nineteen million, twenty thousand, eight hundred".