1070240532480 has 1440 divisors, whose sum is σ = 4727914191000. Its totient is φ = 230087983104.

The previous prime is 1070240532451. The next prime is 1070240532503. The reversal of 1070240532480 is 842350420701.

It is a happy number.

1070240532480 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 2 + 40 + 532 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 909291930624 + 160948601856 = 953568^2 + 401184^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1070240532480² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 690922746 + ... + 690924294.

Almost surely, 2^{1070240532480} is an apocalyptic number.

1070240532480 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 1070240532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363957095500).

1070240532480 is an abundant number, since it is smaller than the sum of its proper divisors (3657673658520).

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

1070240532480 is a wasteful number, since it uses less digits than its factorization.

1070240532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1070240532480 in words is "one trillion, seventy billion, two hundred forty million, five hundred thirty-two thousand, four hundred eighty".