870990071040 has 720 divisors, whose sum is σ = 3163151287296. Its totient is φ = 229771468800.

The previous prime is 870990071023. The next prime is 870990071047. The reversal of 870990071040 is 40170099078.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870990071047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4560157345 + ... + 4560157535.

Almost surely, 2^870990071040 is an apocalyptic number.

870990071040 is a gapful number since it is divisible by the number (80) 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 870990071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581575643648).

870990071040 is an abundant number, since it is smaller than the sum of its proper divisors (2292161216256).

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

870990071040 is an frugal number, since it uses more digits than its factorization.

870990071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 870990071040 in words is "eight hundred seventy billion, nine hundred ninety million, seventy-one thousand, forty".