70152031440 has 120 divisors (see below), whose sum is σ = 236605604040. Its totient is φ = 18626875392.

The previous prime is 70152031393. The next prime is 70152031441. The reversal of 70152031440 is 4413025107.

70152031440 is a `hidden beast` number, since 7 + 0 + 15 + 203 + 1 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 721889424 + 69430142016 = 26868^2 + 263496^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70152031441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41325 + ... + 376844.

It is an arithmetic number, because the mean of its divisors is an integer number (1971713367).

Almost surely, 2^70152031440 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 70152031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118302802020).

70152031440 is an abundant number, since it is smaller than the sum of its proper divisors (166453572600).

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

70152031440 is a wasteful number, since it uses less digits than its factorization.

70152031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418421 (or 418412 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 70152031440 its reverse (4413025107), we get a palindrome (74565056547).

The spelling of 70152031440 in words is "seventy billion, one hundred fifty-two million, thirty-one thousand, four hundred forty".