8743100038400 has 864 divisors, whose sum is σ = 27421315423488. Its totient is φ = 2685999513600.

The previous prime is 8743100038399. The next prime is 8743100038451. The reversal of 8743100038400 is 48300013478.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5420395994 + ... + 5420397606.

It is an arithmetic number, because the mean of its divisors is an integer number (31737633592).

Almost surely, 2^{8743100038400} is an apocalyptic number.

8743100038400 is a gapful number since it is divisible by the number (80) 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 8743100038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710657711744).

8743100038400 is an abundant number, since it is smaller than the sum of its proper divisors (18678215385088).

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

8743100038400 is a wasteful number, since it uses less digits than its factorization.

8743100038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 8743100038400 in words is "eight trillion, seven hundred forty-three billion, one hundred million, thirty-eight thousand, four hundred".