1406966544 has 80 divisors (see below), whose sum is σ = 4048897600. Its totient is φ = 467783424.

The previous prime is 1406966501. The next prime is 1406966591. The reversal of 1406966544 is 4456696041.

It is a happy number.

1406966544 is a `hidden beast` number, since 1 + 40 + 6 + 9 + 66 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1406966544.

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, 172707 + ... + 180669.

It is an arithmetic number, because the mean of its divisors is an integer number (50611220).

Almost surely, 2^1406966544 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 1406966544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024448800).

1406966544 is an abundant number, since it is smaller than the sum of its proper divisors (2641931056).

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

1406966544 is a wasteful number, since it uses less digits than its factorization.

1406966544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1406966544 is about 37509.5527032781. The cubic root of 1406966544 is about 1120.5414431392.

The spelling of 1406966544 in words is "one billion, four hundred six million, nine hundred sixty-six thousand, five hundred forty-four".