842926487040 has 640 divisors, whose sum is σ = 3306906915840. Its totient is φ = 204330885120.

The previous prime is 842926487033. The next prime is 842926487083. The reversal of 842926487040 is 40784629248.

842926487040 is a `hidden beast` number, since 84 + 29 + 26 + 487 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61579077 + ... + 61592763.

It is an arithmetic number, because the mean of its divisors is an integer number (5167042056).

Almost surely, 2^842926487040 is an apocalyptic number.

842926487040 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 842926487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653453457920).

842926487040 is an abundant number, since it is smaller than the sum of its proper divisors (2463980428800).

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

842926487040 is an equidigital number, since it uses as much as digits as its factorization.

842926487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13742 (or 13708 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 842926487040 in words is "eight hundred forty-two billion, nine hundred twenty-six million, four hundred eighty-seven thousand, forty".