1070139439600 has 1440 divisors, whose sum is σ = 3695317770240. Its totient is φ = 295064985600.

The previous prime is 1070139439553. The next prime is 1070139439601. The reversal of 1070139439600 is 69349310701.

It is a super-2 number, since 2×1070139439600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070139439601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8426294737 + ... + 8426294863.

It is an arithmetic number, because the mean of its divisors is an integer number (2566192896).

Almost surely, 2^{1070139439600} is an apocalyptic number.

1070139439600 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 1070139439600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847658885120).

1070139439600 is an abundant number, since it is smaller than the sum of its proper divisors (2625178330640).

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

1070139439600 is a wasteful number, since it uses less digits than its factorization.

1070139439600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The spelling of 1070139439600 in words is "one trillion, seventy billion, one hundred thirty-nine million, four hundred thirty-nine thousand, six hundred".