161291628003240 has 1024 divisors, whose sum is σ = 672207372288000. Its totient is φ = 33547112202240.

The previous prime is 161291628003229. The next prime is 161291628003251. The reversal of 161291628003240 is 42300826192161.

161291628003240 is a `hidden beast` number, since 1 + 6 + 12 + 9 + 1 + 628 + 0 + 0 + 3 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161291628003229) and next prime (161291628003251).

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 255 ways as a sum of consecutive naturals, for example, 4354624641 + ... + 4354661679.

It is an arithmetic number, because the mean of its divisors is an integer number (656452512000).

Almost surely, 2^{161291628003240} is an apocalyptic number.

161291628003240 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 161291628003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336103686144000).

161291628003240 is an abundant number, since it is smaller than the sum of its proper divisors (510915744284760).

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

161291628003240 is a wasteful number, since it uses less digits than its factorization.

161291628003240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38207 (or 38197 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 161291628003240 in words is "one hundred sixty-one trillion, two hundred ninety-one billion, six hundred twenty-eight million, three thousand, two hundred forty".