1430909091000 has 512 divisors, whose sum is σ = 5260680172800. Its totient is φ = 358555852800.

The previous prime is 1430909090921. The next prime is 1430909091047. The reversal of 1430909091000 is 1909090341.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336444874 + ... + 336449126.

Almost surely, 2^{1430909091000} is an apocalyptic number.

1430909091000 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 1430909091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630340086400).

1430909091000 is an abundant number, since it is smaller than the sum of its proper divisors (3829771081800).

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

1430909091000 is a wasteful number, since it uses less digits than its factorization.

1430909091000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 1430909091000 in words is "one trillion, four hundred thirty billion, nine hundred nine million, ninety-one thousand".