104410767350400 has 384 divisors, whose sum is σ = 396032237314560. Its totient is φ = 23683138252800.

The previous prime is 104410767350399. The next prime is 104410767350489. The reversal of 104410767350400 is 4053767014401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2872927 + ... + 14733473.

It is an arithmetic number, because the mean of its divisors is an integer number (1031333951340).

Almost surely, 2^{104410767350400} is an apocalyptic number.

104410767350400 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 104410767350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198016118657280).

104410767350400 is an abundant number, since it is smaller than the sum of its proper divisors (291621469964160).

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

104410767350400 is a wasteful number, since it uses less digits than its factorization.

104410767350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11860712 (or 11860695 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 104410767350400 in words is "one hundred four trillion, four hundred ten billion, seven hundred sixty-seven million, three hundred fifty thousand, four hundred".