1434099072 has 192 divisors, whose sum is σ = 4465152000. Its totient is φ = 406619136.

The previous prime is 1434099071. The next prime is 1434099077. The reversal of 1434099072 is 2709904341.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1434099072² = 4113280296622522368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1434099072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434099071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3744193 + ... + 3744575.

It is an arithmetic number, because the mean of its divisors is an integer number (23256000).

Almost surely, 2^1434099072 is an apocalyptic number.

1434099072 is a gapful number since it is divisible by the number (12) 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 1434099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232576000).

1434099072 is an abundant number, since it is smaller than the sum of its proper divisors (3031052928).

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

1434099072 is a wasteful number, since it uses less digits than its factorization.

1434099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1434099072 is about 37869.5005512352. The cubic root of 1434099072 is about 1127.6986267963.

The spelling of 1434099072 in words is "one billion, four hundred thirty-four million, ninety-nine thousand, seventy-two".