1406515421664 has 288 divisors, whose sum is σ = 4284657336960. Its totient is φ = 436385664000.

The previous prime is 1406515421651. The next prime is 1406515421669. The reversal of 1406515421664 is 4661245156041.

1406515421664 is a `hidden beast` number, since 1 + 40 + 6 + 5 + 1 + 542 + 1 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406515421669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72390319 + ... + 72409745.

It is an arithmetic number, because the mean of its divisors is an integer number (14877282420).

Almost surely, 2^{1406515421664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406515421664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142328668480).

1406515421664 is an abundant number, since it is smaller than the sum of its proper divisors (2878141915296).

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

1406515421664 is a wasteful number, since it uses less digits than its factorization.

1406515421664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19694 (or 19683 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1406515421664 in words is "one trillion, four hundred six billion, five hundred fifteen million, four hundred twenty-one thousand, six hundred sixty-four".