1434644640 has 288 divisors, whose sum is σ = 5752446336. Its totient is φ = 320993280.

The previous prime is 1434644633. The next prime is 1434644677. The reversal of 1434644640 is 464464341.

1434644640 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 6 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1434644595 and 1434644604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202437 + ... + 209403.

It is an arithmetic number, because the mean of its divisors is an integer number (19973772).

Almost surely, 2^1434644640 is an apocalyptic number.

1434644640 is a gapful number since it is divisible by the number (10) 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 1434644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876223168).

1434644640 is an abundant number, since it is smaller than the sum of its proper divisors (4317801696).

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

1434644640 is a wasteful number, since it uses less digits than its factorization.

1434644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 1434644640 is about 37876.7031300244. The cubic root of 1434644640 is about 1127.8416104752.

The spelling of 1434644640 in words is "one billion, four hundred thirty-four million, six hundred forty-four thousand, six hundred forty".