161007351433440 has 192 divisors, whose sum is σ = 521195227128576. Its totient is φ = 41756811005952.

The previous prime is 161007351433403. The next prime is 161007351433459. The reversal of 161007351433440 is 44334153700161.

It is a happy number.

161007351433440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161007351433440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161007351433392 and 161007351433401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11930674 + ... + 21548913.

It is an arithmetic number, because the mean of its divisors is an integer number (2714558474628).

Almost surely, 2^{161007351433440} is an apocalyptic number.

161007351433440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161007351433440 is an abundant number, since it is smaller than the sum of its proper divisors (360187875695136).

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

161007351433440 is a wasteful number, since it uses less digits than its factorization.

161007351433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33479881 (or 33479873 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 161007351433440 in words is "one hundred sixty-one trillion, seven billion, three hundred fifty-one million, four hundred thirty-three thousand, four hundred forty".