104410394150400 has 1920 divisors, whose sum is σ = 445256548007040. Its totient is φ = 23731875348480.

The previous prime is 104410394150327. The next prime is 104410394150401. The reversal of 104410394150400 is 4051493014401.

104410394150400 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 10 + 3 + 94 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104410394150401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4047999904 + ... + 4048025696.

It is an arithmetic number, because the mean of its divisors is an integer number (231904452087).

Almost surely, 2^{104410394150400} is an apocalyptic number.

104410394150400 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 104410394150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222628274003520).

104410394150400 is an abundant number, since it is smaller than the sum of its proper divisors (340846153856640).

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

104410394150400 is a wasteful number, since it uses less digits than its factorization.

104410394150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25913 (or 25886 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 104410394150400 in words is "one hundred four trillion, four hundred ten billion, three hundred ninety-four million, one hundred fifty thousand, four hundred".