104269376010240 has 3840 divisors, whose sum is σ = 468521044992000. Its totient is φ = 21660375711744.

The previous prime is 104269376010209. The next prime is 104269376010251. The reversal of 104269376010240 is 42010673962401.

104269376010240 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 9 + 37 + 601 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 232225781536 + ... + 232225781984.

It is an arithmetic number, because the mean of its divisors is an integer number (122010688800).

Almost surely, 2^{104269376010240} is an apocalyptic number.

104269376010240 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 104269376010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234260522496000).

104269376010240 is an abundant number, since it is smaller than the sum of its proper divisors (364251668981760).

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

104269376010240 is a wasteful number, since it uses less digits than its factorization.

104269376010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 104269376010240 in words is "one hundred four trillion, two hundred sixty-nine billion, three hundred seventy-six million, ten thousand, two hundred forty".