435541916160 has 640 divisors, whose sum is σ = 1701701084160. Its totient is φ = 104919072768.

The previous prime is 435541916137. The next prime is 435541916167. The reversal of 435541916160 is 61619145534.

435541916160 is a `hidden beast` number, since 4 + 3 + 5 + 541 + 91 + 6 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (435541916167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42227164 + ... + 42237476.

It is an arithmetic number, because the mean of its divisors is an integer number (2658907944).

Almost surely, 2^435541916160 is an apocalyptic number.

435541916160 is a gapful number since it is divisible by the number (40) 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 435541916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850850542080).

435541916160 is an abundant number, since it is smaller than the sum of its proper divisors (1266159168000).

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

435541916160 is a wasteful number, since it uses less digits than its factorization.

435541916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10405 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 435541916160 in words is "four hundred thirty-five billion, five hundred forty-one million, nine hundred sixteen thousand, one hundred sixty".