412052544145440 has 1344 divisors, whose sum is σ = 1635492042519552. Its totient is φ = 97213374720000.

The previous prime is 412052544145439. The next prime is 412052544145453. The reversal of 412052544145440 is 44541445250214.

412052544145440 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 5 + 2 + 544 + 14 + 54 + 40 = 666.

It is a super-4 number, since 4×412052544145440⁴ (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7134956565 + ... + 7135014315.

It is an arithmetic number, because the mean of its divisors is an integer number (1216883960208).

Almost surely, 2^{412052544145440} is an apocalyptic number.

412052544145440 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 412052544145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817746021259776).

412052544145440 is an abundant number, since it is smaller than the sum of its proper divisors (1223439498374112).

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

412052544145440 is a wasteful number, since it uses less digits than its factorization.

412052544145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57945 (or 57922 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

Adding to 412052544145440 its reverse (44541445250214), we get a palindrome (456593989395654).

The spelling of 412052544145440 in words is "four hundred twelve trillion, fifty-two billion, five hundred forty-four million, one hundred forty-five thousand, four hundred forty".