701441048000 has 224 divisors, whose sum is σ = 2165760350208. Its totient is φ = 218630784000.

The previous prime is 701441047981. The next prime is 701441048041. The reversal of 701441048000 is 840144107.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46649 + ... + 1185351.

It is an arithmetic number, because the mean of its divisors is an integer number (9668572992).

Almost surely, 2^701441048000 is an apocalyptic number.

701441048000 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 701441048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082880175104).

701441048000 is an abundant number, since it is smaller than the sum of its proper divisors (1464319302208).

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

701441048000 is a wasteful number, since it uses less digits than its factorization.

701441048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138748 (or 1138728 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

It can be divided in two parts, 7014 and 41048000, that added together give a palindrome (41055014).

The spelling of 701441048000 in words is "seven hundred one billion, four hundred forty-one million, forty-eight thousand".