1585342970400 has 144 divisors (see below), whose sum is σ = 5897475912384. Its totient is φ = 362364103680.

The previous prime is 1585342970347. The next prime is 1585342970413. The reversal of 1585342970400 is 40792435851.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1585342970400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47166027 + ... + 47199626.

It is an arithmetic number, because the mean of its divisors is an integer number (40954693836).

Almost surely, 2^{1585342970400} is an apocalyptic number.

1585342970400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1585342970400 is an abundant number, since it is smaller than the sum of its proper divisors (4312132941984).

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

1585342970400 is a wasteful number, since it uses less digits than its factorization.

1585342970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94365683 (or 94365670 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 1585342970400 in words is "one trillion, five hundred eighty-five billion, three hundred forty-two million, nine hundred seventy thousand, four hundred".