1406166432 has 48 divisors (see below), whose sum is σ = 4026752352. Its totient is φ = 426110720.

The previous prime is 1406166427. The next prime is 1406166439. The reversal of 1406166432 is 2346616041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1406166432² = 3954608068967221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1406166393 and 1406166402.

It is not an unprimeable number, because it can be changed into a prime (1406166439) 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, 664743 + ... + 666854.

It is an arithmetic number, because the mean of its divisors is an integer number (83890674).

Almost surely, 2^1406166432 is an apocalyptic number.

1406166432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1406166432 is an abundant number, since it is smaller than the sum of its proper divisors (2620585920).

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

1406166432 is a wasteful number, since it uses less digits than its factorization.

1406166432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331621 (or 1331613 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1406166432 is about 37498.8857434458. The cubic root of 1406166432 is about 1120.3289934867.

The spelling of 1406166432 in words is "one billion, four hundred six million, one hundred sixty-six thousand, four hundred thirty-two".