418061146440000 has 1120 divisors, whose sum is σ = 1586148177309696. Its totient is φ = 95165706240000.

The previous prime is 418061146439887. The next prime is 418061146440001. The reversal of 418061146440000 is 44641160814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418061146440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 307172039320 + ... + 307172040680.

Almost surely, 2^{418061146440000} is an apocalyptic number.

418061146440000 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 418061146440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793074088654848).

418061146440000 is an abundant number, since it is smaller than the sum of its proper divisors (1168087030869696).

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

418061146440000 is a wasteful number, since it uses less digits than its factorization.

418061146440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 418061146440000 in words is "four hundred eighteen trillion, sixty-one billion, one hundred forty-six million, four hundred forty thousand".