1434077840 has 160 divisors (see below), whose sum is σ = 3934435680. Its totient is φ = 481001472.

The previous prime is 1434077837. The next prime is 1434077867. The reversal of 1434077840 is 487704341.

It can be written as a sum of positive squares in 16 ways, for example, as 191656336 + 1242421504 = 13844^2 + 35248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1434077794 and 1434077803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511322 + ... + 514118.

It is an arithmetic number, because the mean of its divisors is an integer number (24590223).

Almost surely, 2^1434077840 is an apocalyptic number.

1434077840 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 1434077840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967217840).

1434077840 is an abundant number, since it is smaller than the sum of its proper divisors (2500357840).

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

1434077840 is a wasteful number, since it uses less digits than its factorization.

1434077840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 1434077840 is about 37869.2202190645. The cubic root of 1434077840 is about 1127.6930615333.

The spelling of 1434077840 in words is "one billion, four hundred thirty-four million, seventy-seven thousand, eight hundred forty".