464441000540000 has 240 divisors, whose sum is σ = 1300660978256640. Its totient is φ = 161544694080000.

The previous prime is 464441000539979. The next prime is 464441000540057. The reversal of 464441000540000 is 45000144464.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40833380 + ... + 50953379.

It is an arithmetic number, because the mean of its divisors is an integer number (5419420742736).

Almost surely, 2^{464441000540000} is an apocalyptic number.

464441000540000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464441000540000 is an abundant number, since it is smaller than the sum of its proper divisors (836219977716640).

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

464441000540000 is a wasteful number, since it uses less digits than its factorization.

464441000540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91786823 (or 91786800 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 464441000540000 its reverse (45000144464), we get a palindrome (464486000684464).

The spelling of 464441000540000 in words is "four hundred sixty-four trillion, four hundred forty-one billion, five hundred forty thousand".