406761449600 has 96 divisors (see below), whose sum is σ = 1096175978640. Its totient is φ = 147913241600.

The previous prime is 406761449597. The next prime is 406761449603. The reversal of 406761449600 is 6944167604.

It is an interprime number because it is at equal distance from previous prime (406761449597) and next prime (406761449603).

It is not an unprimeable number, because it can be changed into a prime (406761449603) 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 11 ways as a sum of consecutive naturals, for example, 5742662 + ... + 5813061.

Almost surely, 2^406761449600 is an apocalyptic number.

406761449600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406761449600 is an abundant number, since it is smaller than the sum of its proper divisors (689414529040).

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

406761449600 is a wasteful number, since it uses less digits than its factorization.

406761449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11555758 (or 11555741 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 406761449600 in words is "four hundred six billion, seven hundred sixty-one million, four hundred forty-nine thousand, six hundred".