432978457242240 has 8192 divisors, whose sum is σ = 2114225971200000. Its totient is φ = 82975850496000.

The previous prime is 432978457242211. The next prime is 432978457242293. The reversal of 432978457242240 is 42242754879234.

432978457242240 is a `hidden beast` number, since 4 + 3 + 2 + 97 + 84 + 5 + 7 + 2 + 422 + 40 = 666.

It is a super-4 number, since 4×432978457242240⁴ (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 4286915418190 + ... + 4286915418290.

It is an arithmetic number, because the mean of its divisors is an integer number (258084225000).

Almost surely, 2^{432978457242240} is an apocalyptic number.

432978457242240 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 432978457242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057112985600000).

432978457242240 is an abundant number, since it is smaller than the sum of its proper divisors (1681247513957760).

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

432978457242240 is a wasteful number, since it uses less digits than its factorization.

432978457242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 432978457242240 in words is "four hundred thirty-two trillion, nine hundred seventy-eight billion, four hundred fifty-seven million, two hundred forty-two thousand, two hundred forty".