421677527088048 has 1440 divisors, whose sum is σ = 1495474256093184. Its totient is φ = 99443635200000.

The previous prime is 421677527088047. The next prime is 421677527088119. The reversal of 421677527088048 is 840880725776124.

It is not an unprimeable number, because it can be changed into a prime (421677527088047) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 561488051673 + ... + 561488052423.

Almost surely, 2^{421677527088048} is an apocalyptic number.

421677527088048 is a gapful number since it is divisible by the number (48) 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 421677527088048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747737128046592).

421677527088048 is an abundant number, since it is smaller than the sum of its proper divisors (1073796729005136).

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

421677527088048 is a wasteful number, since it uses less digits than its factorization.

421677527088048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 337182720, while the sum is 69.

The spelling of 421677527088048 in words is "four hundred twenty-one trillion, six hundred seventy-seven billion, five hundred twenty-seven million, eighty-eight thousand, forty-eight".