1414252944 has 240 divisors, whose sum is σ = 4408884480. Its totient is φ = 420526080.

The previous prime is 1414252927. The next prime is 1414252949. The reversal of 1414252944 is 4492524141.

1414252944 is a `hidden beast` number, since 141 + 425 + 2 + 94 + 4 = 666.

It is a super-2 number, since 2×1414252944² = 4000222779225334272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1414252899 and 1414252908.

It is not an unprimeable number, because it can be changed into a prime (1414252949) 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 47 ways as a sum of consecutive naturals, for example, 10795759 + ... + 10795889.

It is an arithmetic number, because the mean of its divisors is an integer number (18370352).

Almost surely, 2^1414252944 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 1414252944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204442240).

1414252944 is an abundant number, since it is smaller than the sum of its proper divisors (2994631536).

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

1414252944 is a wasteful number, since it uses less digits than its factorization.

1414252944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1414252944 is about 37606.5545350807. The cubic root of 1414252944 is about 1122.4724672853.

The spelling of 1414252944 in words is "one billion, four hundred fourteen million, two hundred fifty-two thousand, nine hundred forty-four".