1295349828416 has 168 divisors, whose sum is σ = 3097487937600. Its totient is φ = 537233114880.

The previous prime is 1295349828407. The next prime is 1295349828449. The reversal of 1295349828416 is 6148289435921.

It is a Harshad number since it is a multiple of its sum of digits (62).

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, 21065171 + ... + 21126573.

It is an arithmetic number, because the mean of its divisors is an integer number (18437428200).

Almost surely, 2^{1295349828416} is an apocalyptic number.

1295349828416 is a gapful number since it is divisible by the number (16) 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 1295349828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548743968800).

1295349828416 is an abundant number, since it is smaller than the sum of its proper divisors (1802138109184).

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

1295349828416 is an frugal number, since it uses more digits than its factorization.

1295349828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61498 (or 61443 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 62.

The spelling of 1295349828416 in words is "one trillion, two hundred ninety-five billion, three hundred forty-nine million, eight hundred twenty-eight thousand, four hundred sixteen".