1405121564 has 24 divisors (see below), whose sum is σ = 3065720448. Its totient is φ = 547449840.

The previous prime is 1405121563. The next prime is 1405121579. The reversal of 1405121564 is 4651215041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405121561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2280734 + ... + 2281349.

It is an arithmetic number, because the mean of its divisors is an integer number (127738352).

Almost surely, 2^1405121564 is an apocalyptic number.

1405121564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1405121564 is an abundant number, since it is smaller than the sum of its proper divisors (1660598884).

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

1405121564 is a wasteful number, since it uses less digits than its factorization.

1405121564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562105 (or 4562103 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 1405121564 is about 37484.9511671017. The cubic root of 1405121564 is about 1120.0514336499.

The spelling of 1405121564 in words is "one billion, four hundred five million, one hundred twenty-one thousand, five hundred sixty-four".