103894349207040 has 2560 divisors, whose sum is σ = 448865556480000. Its totient is φ = 22740411875328.

The previous prime is 103894349207039. The next prime is 103894349207053. The reversal of 103894349207040 is 40702943498301.

103894349207040 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 9 + 43 + 492 + 0 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 94192519129 + ... + 94192520231.

It is an arithmetic number, because the mean of its divisors is an integer number (175338108000).

Almost surely, 2^{103894349207040} is an apocalyptic number.

103894349207040 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 103894349207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224432778240000).

103894349207040 is an abundant number, since it is smaller than the sum of its proper divisors (344971207272960).

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

103894349207040 is a wasteful number, since it uses less digits than its factorization.

103894349207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 103894349207040 in words is "one hundred three trillion, eight hundred ninety-four billion, three hundred forty-nine million, two hundred seven thousand, forty".