104662247040 has 1024 divisors, whose sum is σ = 426398515200. Its totient is φ = 24062607360.

The previous prime is 104662247033. The next prime is 104662247047. The reversal of 104662247040 is 40742266401.

104662247040 is a `hidden beast` number, since 104 + 66 + 22 + 470 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104662247033) and next prime (104662247047).

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 = 104662246986 and 104662247004.

It is not an unprimeable number, because it can be changed into a prime (104662247047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242835625 + ... + 242836055.

It is an arithmetic number, because the mean of its divisors is an integer number (416404800).

Almost surely, 2^104662247040 is an apocalyptic number.

104662247040 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 104662247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213199257600).

104662247040 is an abundant number, since it is smaller than the sum of its proper divisors (321736268160).

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

104662247040 is a wasteful number, since it uses less digits than its factorization.

104662247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 104662247040 in words is "one hundred four billion, six hundred sixty-two million, two hundred forty-seven thousand, forty".