1342935640200 has 1152 divisors, whose sum is σ = 5441116032000. Its totient is φ = 270792345600.

The previous prime is 1342935640181. The next prime is 1342935640229. The reversal of 1342935640200 is 20465392431.

It is a Cunningham number, because it is equal to 1158851²-1.

It is a super-2 number, since 2×1342935640200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3740767621 + ... + 3740767979.

It is an arithmetic number, because the mean of its divisors is an integer number (4723191000).

Almost surely, 2^{1342935640200} is an apocalyptic number.

1342935640200 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 1342935640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720558016000).

1342935640200 is an abundant number, since it is smaller than the sum of its proper divisors (4098180391800).

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

1342935640200 is a wasteful number, since it uses less digits than its factorization.

1342935640200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 1342935640200 in words is "one trillion, three hundred forty-two billion, nine hundred thirty-five million, six hundred forty thousand, two hundred".