1342176640 has 192 divisors, whose sum is σ = 3773053440. Its totient is φ = 455196672.

The previous prime is 1342176607. The next prime is 1342176643. The reversal of 1342176640 is 466712431.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 1342176596 and 1342176605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342176643) 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, 3982552 + ... + 3982888.

It is an arithmetic number, because the mean of its divisors is an integer number (19651320).

Almost surely, 2^1342176640 is an apocalyptic number.

1342176640 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 1342176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886526720).

1342176640 is an abundant number, since it is smaller than the sum of its proper divisors (2430876800).

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

1342176640 is a wasteful number, since it uses less digits than its factorization.

1342176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 1342176640 is about 36635.7290087150. The cubic root of 1342176640 is about 1103.0703859680.

The spelling of 1342176640 in words is "one billion, three hundred forty-two million, one hundred seventy-six thousand, six hundred forty".