161333860430400 has 672 divisors, whose sum is σ = 628997369782272. Its totient is φ = 35426233958400.

The previous prime is 161333860430377. The next prime is 161333860430419. The reversal of 161333860430400 is 4034068333161.

161333860430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×161333860430400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142133907 + ... + 143264493.

Almost surely, 2^{161333860430400} is an apocalyptic number.

161333860430400 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 161333860430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314498684891136).

161333860430400 is an abundant number, since it is smaller than the sum of its proper divisors (467663509351872).

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

161333860430400 is a wasteful number, since it uses less digits than its factorization.

161333860430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130787 (or 1130772 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 161333860430400 in words is "one hundred sixty-one trillion, three hundred thirty-three billion, eight hundred sixty million, four hundred thirty thousand, four hundred".