104454361440 has 864 divisors, whose sum is σ = 428872612896. Its totient is φ = 22821765120.

The previous prime is 104454361433. The next prime is 104454361541. The reversal of 104454361440 is 44163454401.

104454361440 is a `hidden beast` number, since 10 + 4 + 4 + 543 + 61 + 4 + 40 = 666.

104454361440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 104454361395 and 104454361404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 924374824 + ... + 924374936.

It is an arithmetic number, because the mean of its divisors is an integer number (496380339).

Almost surely, 2^104454361440 is an apocalyptic number.

104454361440 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 104454361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214436306448).

104454361440 is an abundant number, since it is smaller than the sum of its proper divisors (324418251456).

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

104454361440 is a wasteful number, since it uses less digits than its factorization.

104454361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 104454361440 in words is "one hundred four billion, four hundred fifty-four million, three hundred sixty-one thousand, four hundred forty".