1429030657264 has 160 divisors (see below), whose sum is σ = 3455493120000. Its totient is φ = 558605279232.

The previous prime is 1429030657213. The next prime is 1429030657267. The reversal of 1429030657264 is 4627560309241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429030657267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21751537 + ... + 21817135.

It is an arithmetic number, because the mean of its divisors is an integer number (21596832000).

Almost surely, 2^{1429030657264} is an apocalyptic number.

1429030657264 is a gapful number since it is divisible by the number (14) 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 1429030657264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727746560000).

1429030657264 is an abundant number, since it is smaller than the sum of its proper divisors (2026462462736).

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

1429030657264 is a wasteful number, since it uses less digits than its factorization.

1429030657264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66015 (or 66009 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 1429030657264 in words is "one trillion, four hundred twenty-nine billion, thirty million, six hundred fifty-seven thousand, two hundred sixty-four".