1406549144 has 192 divisors, whose sum is σ = 3636576000. Its totient is φ = 495106560.

The previous prime is 1406549141. The next prime is 1406549167. The reversal of 1406549144 is 4419456041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1406549098 and 1406549107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406549141) 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, 6142022 + ... + 6142250.

It is an arithmetic number, because the mean of its divisors is an integer number (18940500).

Almost surely, 2^1406549144 is an apocalyptic number.

1406549144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406549144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818288000).

1406549144 is an abundant number, since it is smaller than the sum of its proper divisors (2230026856).

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

1406549144 is a wasteful number, since it uses less digits than its factorization.

1406549144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 1406549144 is about 37503.9883745716. The cubic root of 1406549144 is about 1120.4306231012.

The spelling of 1406549144 in words is "one billion, four hundred six million, five hundred forty-nine thousand, one hundred forty-four".