162124004040 has 256 divisors, whose sum is σ = 518861376000. Its totient is φ = 40384856064.

The previous prime is 162124003981. The next prime is 162124004083. The reversal of 162124004040 is 40400421261.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 162124004040.

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, 240897144 + ... + 240897816.

It is an arithmetic number, because the mean of its divisors is an integer number (2026802250).

Almost surely, 2^162124004040 is an apocalyptic number.

162124004040 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 162124004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259430688000).

162124004040 is an abundant number, since it is smaller than the sum of its proper divisors (356737371960).

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

162124004040 is a wasteful number, since it uses less digits than its factorization.

162124004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 162124004040 in words is "one hundred sixty-two billion, one hundred twenty-four million, four thousand, forty".