1429295672560 has 120 divisors (see below), whose sum is σ = 3869421778656. Its totient is φ = 489567536640.

The previous prime is 1429295672549. The next prime is 1429295672579. The reversal of 1429295672560 is 652765929241.

It is a happy number.

It is a super-2 number, since 2×1429295672560² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1429295672495 and 1429295672504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3864694 + ... + 4218346.

Almost surely, 2^{1429295672560} is an apocalyptic number.

1429295672560 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 1429295672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934710889328).

1429295672560 is an abundant number, since it is smaller than the sum of its proper divisors (2440126106096).

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

1429295672560 is a wasteful number, since it uses less digits than its factorization.

1429295672560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354711 (or 354698 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 1429295672560 in words is "one trillion, four hundred twenty-nine billion, two hundred ninety-five million, six hundred seventy-two thousand, five hundred sixty".