432212477973120 has 1536 divisors, whose sum is σ = 1742543601926400. Its totient is φ = 100634229964800.

The previous prime is 432212477973083. The next prime is 432212477973137. The reversal of 432212477973120 is 21379774212234.

432212477973120 is a `hidden beast` number, since 4 + 3 + 2 + 212 + 47 + 79 + 7 + 312 + 0 = 666.

It is a super-2 number, since 2×432212477973120² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56847619239 + ... + 56847626841.

Almost surely, 2^{432212477973120} is an apocalyptic number.

432212477973120 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 432212477973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871271800963200).

432212477973120 is an abundant number, since it is smaller than the sum of its proper divisors (1310331123953280).

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

432212477973120 is a wasteful number, since it uses less digits than its factorization.

432212477973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8383 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 432212477973120 in words is "four hundred thirty-two trillion, two hundred twelve billion, four hundred seventy-seven million, nine hundred seventy-three thousand, one hundred twenty".