70405441344000 has 960 divisors, whose sum is σ = 290584928874240. Its totient is φ = 16049863065600.

The previous prime is 70405441343879. The next prime is 70405441344001. The reversal of 70405441344000 is 44314450407.

70405441344000 is a `hidden beast` number, since 7 + 0 + 40 + 544 + 1 + 34 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (70405441344001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1528104964 + ... + 1528151036.

It is an arithmetic number, because the mean of its divisors is an integer number (302692634244).

Almost surely, 2^{70405441344000} is an apocalyptic number.

70405441344000 is a gapful number since it is divisible by the number (70) 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 70405441344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145292464437120).

70405441344000 is an abundant number, since it is smaller than the sum of its proper divisors (220179487530240).

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

70405441344000 is a wasteful number, since it uses less digits than its factorization.

70405441344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46498 (or 46469 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 70405441344000 its reverse (44314450407), we get a palindrome (70449755794407).

The spelling of 70405441344000 in words is "seventy trillion, four hundred five billion, four hundred forty-one million, three hundred forty-four thousand".