1342679804928 has 1848 divisors, whose sum is σ = 5288930256384. Its totient is φ = 336520396800.

The previous prime is 1342679804909. The next prime is 1342679804957. The reversal of 1342679804928 is 8294089762431.

1342679804928 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 67 + 9 + 80 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a super-2 number, since 2×1342679804928² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 18910983133 + ... + 18910983203.

Almost surely, 2^{1342679804928} is an apocalyptic number.

1342679804928 is a gapful number since it is divisible by the number (18) 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 1342679804928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644465128192).

1342679804928 is an abundant number, since it is smaller than the sum of its proper divisors (3946250451456).

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

1342679804928 is an equidigital number, since it uses as much as digits as its factorization.

1342679804928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 1342679804928 in words is "one trillion, three hundred forty-two billion, six hundred seventy-nine million, eight hundred four thousand, nine hundred twenty-eight".