704601115001040 has 320 divisors, whose sum is σ = 2272720845127680. Its totient is φ = 180386403287040.

The previous prime is 704601115000967. The next prime is 704601115001053. The reversal of 704601115001040 is 40100511106407.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 704601115000989 and 704601115001007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514811859 + ... + 516178701.

It is an arithmetic number, because the mean of its divisors is an integer number (7102252641024).

Almost surely, 2^{704601115001040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704601115001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136360422563840).

704601115001040 is an abundant number, since it is smaller than the sum of its proper divisors (1568119730126640).

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

704601115001040 is a wasteful number, since it uses less digits than its factorization.

704601115001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367442 (or 1367436 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

Adding to 704601115001040 its reverse (40100511106407), we get a palindrome (744701626107447).

The spelling of 704601115001040 in words is "seven hundred four trillion, six hundred one billion, one hundred fifteen million, one thousand, forty".