167040159840 has 576 divisors, whose sum is σ = 629136668160. Its totient is φ = 40201297920.

The previous prime is 167040159833. The next prime is 167040159841. The reversal of 167040159840 is 48951040761.

167040159840 is a `hidden beast` number, since 16 + 7 + 0 + 4 + 0 + 1 + 598 + 40 = 666.

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 (167040159841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48233949 + ... + 48237411.

It is an arithmetic number, because the mean of its divisors is an integer number (1092251160).

Almost surely, 2^167040159840 is an apocalyptic number.

167040159840 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 167040159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314568334080).

167040159840 is an abundant number, since it is smaller than the sum of its proper divisors (462096508320).

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

167040159840 is a wasteful number, since it uses less digits than its factorization.

167040159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 167040159840 in words is "one hundred sixty-seven billion, forty million, one hundred fifty-nine thousand, eight hundred forty".