5143984817400 has 2688 divisors, whose sum is σ = 23312197923840. Its totient is φ = 1034643456000.

The previous prime is 5143984817381. The next prime is 5143984817459. The reversal of 5143984817400 is 47184893415.

5143984817400 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 98 + 481 + 74 + 0 + 0 = 666.

It is a super-2 number, since 2×5143984817400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 8152115085 + ... + 8152115715.

It is an arithmetic number, because the mean of its divisors is an integer number (8672692680).

Almost surely, 2^{5143984817400} is an apocalyptic number.

5143984817400 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 5143984817400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656098961920).

5143984817400 is an abundant number, since it is smaller than the sum of its proper divisors (18168213106440).

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

5143984817400 is a wasteful number, since it uses less digits than its factorization.

5143984817400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 5143984817400 in words is "five trillion, one hundred forty-three billion, nine hundred eighty-four million, eight hundred seventeen thousand, four hundred".