162364381402400 has 288 divisors, whose sum is σ = 409936040414208. Its totient is φ = 62731384934400.

The previous prime is 162364381402367. The next prime is 162364381402427. The reversal of 162364381402400 is 4204183463261.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35319636902 + ... + 35319641498.

It is an arithmetic number, because the mean of its divisors is an integer number (1423389029216).

Almost surely, 2^{162364381402400} is an apocalyptic number.

162364381402400 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 162364381402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204968020207104).

162364381402400 is an abundant number, since it is smaller than the sum of its proper divisors (247571659011808).

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

162364381402400 is a wasteful number, since it uses less digits than its factorization.

162364381402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 162364381402400 in words is "one hundred sixty-two trillion, three hundred sixty-four billion, three hundred eighty-one million, four hundred two thousand, four hundred".