1342064262700 has 288 divisors, whose sum is σ = 3509479128960. Its totient is φ = 435804364800.

The previous prime is 1342064262587. The next prime is 1342064262709. The reversal of 1342064262700 is 72624602431.

It is a super-2 number, since 2×1342064262700² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1342064262700.

It is not an unprimeable number, because it can be changed into a prime (1342064262709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 591477166 + ... + 591479434.

It is an arithmetic number, because the mean of its divisors is an integer number (12185691420).

Almost surely, 2^{1342064262700} is an apocalyptic number.

1342064262700 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 1342064262700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754739564480).

1342064262700 is an abundant number, since it is smaller than the sum of its proper divisors (2167414866260).

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

1342064262700 is a wasteful number, since it uses less digits than its factorization.

1342064262700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 1342064262700 in words is "one trillion, three hundred forty-two billion, sixty-four million, two hundred sixty-two thousand, seven hundred".