334455161040 has 720 divisors, whose sum is σ = 1519549659264. Its totient is φ = 64149719040.

The previous prime is 334455161011. The next prime is 334455161059. The reversal of 334455161040 is 40161554433.

334455161040 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 551 + 61 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×334455161040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334455160986 and 334455161004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7906827 + ... + 7949013.

Almost surely, 2^334455161040 is an apocalyptic number.

334455161040 is a gapful number since it is divisible by the number (30) 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 334455161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759774829632).

334455161040 is an abundant number, since it is smaller than the sum of its proper divisors (1185094498224).

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

334455161040 is a wasteful number, since it uses less digits than its factorization.

334455161040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42248 (or 42228 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 334455161040 in words is "three hundred thirty-four billion, four hundred fifty-five million, one hundred sixty-one thousand, forty".