1406334412464 has 80 divisors (see below), whose sum is σ = 3863668126080. Its totient is φ = 439527168000.

The previous prime is 1406334412447. The next prime is 1406334412487. The reversal of 1406334412464 is 4642144336041.

It is a happy number.

It is a super-3 number, since 3×1406334412464³ (a number of 37 digits) contains 333 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, 7860162 + ... + 8037089.

It is an arithmetic number, because the mean of its divisors is an integer number (48295851576).

Almost surely, 2^{1406334412464} is an apocalyptic number.

It is an amenable number.

1406334412464 is an abundant number, since it is smaller than the sum of its proper divisors (2457333713616).

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

1406334412464 is a wasteful number, since it uses less digits than its factorization.

1406334412464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15897378 (or 15897372 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 1406334412464 in words is "one trillion, four hundred six billion, three hundred thirty-four million, four hundred twelve thousand, four hundred sixty-four".