103400754408000 has 1344 divisors, whose sum is σ = 437033943929856. Its totient is φ = 22842777600000.

The previous prime is 103400754407999. The next prime is 103400754408053. The reversal of 103400754408000 is 804457004301.

103400754408000 is a `hidden beast` number, since 1 + 0 + 34 + 0 + 0 + 7 + 544 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 2815829640 + ... + 2815866360.

It is an arithmetic number, because the mean of its divisors is an integer number (325174065424).

Almost surely, 2^{103400754408000} is an apocalyptic number.

103400754408000 is a gapful number since it is divisible by the number (10) 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 103400754408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218516971964928).

103400754408000 is an abundant number, since it is smaller than the sum of its proper divisors (333633189521856).

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

103400754408000 is a wasteful number, since it uses less digits than its factorization.

103400754408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36949 (or 36926 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 103400754408000 in words is "one hundred three trillion, four hundred billion, seven hundred fifty-four million, four hundred eight thousand".