1430091840 has 112 divisors (see below), whose sum is σ = 4581070848. Its totient is φ = 377954304.

The previous prime is 1430091821. The next prime is 1430091851. The reversal of 1430091840 is 481900341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1430091798 and 1430091807.

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, 101889 + ... + 115071.

Almost surely, 2^1430091840 is an apocalyptic number.

1430091840 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 1430091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290535424).

1430091840 is an abundant number, since it is smaller than the sum of its proper divisors (3150979008).

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

1430091840 is a wasteful number, since it uses less digits than its factorization.

1430091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13316 (or 13306 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1430091840 is about 37816.5551048744. Note that the first 3 decimals coincide. The cubic root of 1430091840 is about 1126.6472894831.

The spelling of 1430091840 in words is "one billion, four hundred thirty million, ninety-one thousand, eight hundred forty".