446070523000040 has 64 divisors (see below), whose sum is σ = 1009569130497360. Its totient is φ = 177377684520960.

The previous prime is 446070523000031. The next prime is 446070523000079. The reversal of 446070523000040 is 40000325070644.

It can be written as a sum of positive squares in 8 ways, for example, as 419253225754276 + 26817297245764 = 20475674^2 + 5178542^2 .

It is a super-2 number, since 2×446070523000040² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60722600 + ... + 67671080.

Almost surely, 2^{446070523000040} is an apocalyptic number.

446070523000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

446070523000040 is an abundant number, since it is smaller than the sum of its proper divisors (563498607497320).

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

446070523000040 is a wasteful number, since it uses less digits than its factorization.

446070523000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6957942 (or 6957938 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

Adding to 446070523000040 its reverse (40000325070644), we get a palindrome (486070848070684).

The spelling of 446070523000040 in words is "four hundred forty-six trillion, seventy billion, five hundred twenty-three million, forty", and thus it is an aban number.