462416121421640 has 64 divisors (see below), whose sum is σ = 1101653861934960. Its totient is φ = 174083626967040.

The previous prime is 462416121421637. The next prime is 462416121421651. The reversal of 462416121421640 is 46124121614264.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 52385777791204 + 410030343630436 = 7237802^2 + 20249206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 462416121421591 and 462416121421600.

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 15 ways as a sum of consecutive naturals, for example, 44104124 + ... + 53572436.

Almost surely, 2^{462416121421640} is an apocalyptic number.

462416121421640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462416121421640 is an abundant number, since it is smaller than the sum of its proper divisors (639237740513320).

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

462416121421640 is a wasteful number, since it uses less digits than its factorization.

462416121421640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9540162 (or 9540158 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 462416121421640 in words is "four hundred sixty-two trillion, four hundred sixteen billion, one hundred twenty-one million, four hundred twenty-one thousand, six hundred forty".