1570442135040 has 1280 divisors, whose sum is σ = 6094049955840. Its totient is φ = 381852057600.

The previous prime is 1570442135039. The next prime is 1570442135077. The reversal of 1570442135040 is 405312440751.

1570442135040 is a `hidden beast` number, since 1 + 570 + 4 + 42 + 1 + 3 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 1570442134986 and 1570442135004.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 9403845037 + ... + 9403845203.

It is an arithmetic number, because the mean of its divisors is an integer number (4760976528).

Almost surely, 2^{1570442135040} is an apocalyptic number.

1570442135040 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 1570442135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047024977920).

1570442135040 is an abundant number, since it is smaller than the sum of its proper divisors (4523607820800).

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

1570442135040 is a wasteful number, since it uses less digits than its factorization.

1570442135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 1570442135040 its reverse (405312440751), we get a palindrome (1975754575791).

The spelling of 1570442135040 in words is "one trillion, five hundred seventy billion, four hundred forty-two million, one hundred thirty-five thousand, forty".