421165544820480 has 288 divisors, whose sum is σ = 1495063700121600. Its totient is φ = 112272414363648.

The previous prime is 421165544820479. The next prime is 421165544820487. The reversal of 421165544820480 is 84028445561124.

421165544820480 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 6 + 554 + 4 + 8 + 2 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×421165544820480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421165544820487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99075381 + ... + 103238859.

It is an arithmetic number, because the mean of its divisors is an integer number (5191193403200).

Almost surely, 2^{421165544820480} is an apocalyptic number.

421165544820480 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 421165544820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747531850060800).

421165544820480 is an abundant number, since it is smaller than the sum of its proper divisors (1073898155301120).

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

421165544820480 is a wasteful number, since it uses less digits than its factorization.

421165544820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166436 (or 4166416 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 421165544820480 in words is "four hundred twenty-one trillion, one hundred sixty-five billion, five hundred forty-four million, eight hundred twenty thousand, four hundred eighty".