840538460160 has 832 divisors, whose sum is σ = 3508002163200. Its totient is φ = 186898710528.

The previous prime is 840538460147. The next prime is 840538460221. The reversal of 840538460160 is 61064835048.

840538460160 is a `hidden beast` number, since 8 + 4 + 0 + 5 + 38 + 4 + 601 + 6 + 0 = 666.

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

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, 143213706 + ... + 143219574.

Almost surely, 2^840538460160 is an apocalyptic number.

840538460160 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 840538460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754001081600).

840538460160 is an abundant number, since it is smaller than the sum of its proper divisors (2667463703040).

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

840538460160 is a wasteful number, since it uses less digits than its factorization.

840538460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 840538460160 in words is "eight hundred forty billion, five hundred thirty-eight million, four hundred sixty thousand, one hundred sixty".