414152132420 has 192 divisors, whose sum is σ = 977067463680. Its totient is φ = 146468044800.

The previous prime is 414152132351. The next prime is 414152132477. The reversal of 414152132420 is 24231251414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293932676 + ... + 293934084.

It is an arithmetic number, because the mean of its divisors is an integer number (5088893040).

Almost surely, 2^414152132420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414152132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488533731840).

414152132420 is an abundant number, since it is smaller than the sum of its proper divisors (562915331260).

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

414152132420 is a wasteful number, since it uses less digits than its factorization.

414152132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 414152132420 its reverse (24231251414), we get a palindrome (438383383834).

The spelling of 414152132420 in words is "four hundred fourteen billion, one hundred fifty-two million, one hundred thirty-two thousand, four hundred twenty".