1434083840 has 160 divisors (see below), whose sum is σ = 3983316480. Its totient is φ = 484982784.

The previous prime is 1434083837. The next prime is 1434083887. The reversal of 1434083840 is 483804341.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1434083840.

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, 1415174 + ... + 1416186.

It is an arithmetic number, because the mean of its divisors is an integer number (24895728).

Almost surely, 2^1434083840 is an apocalyptic number.

1434083840 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 1434083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991658240).

1434083840 is an abundant number, since it is smaller than the sum of its proper divisors (2549232640).

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

1434083840 is an equidigital number, since it uses as much as digits as its factorization.

1434083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 1434083840 is about 37869.2994389915. The cubic root of 1434083840 is about 1127.6946342395.

The spelling of 1434083840 in words is "one billion, four hundred thirty-four million, eighty-three thousand, eight hundred forty".