1342101600 has 432 divisors, whose sum is σ = 5589642240. Its totient is φ = 296524800.

The previous prime is 1342101599. The next prime is 1342101611. The reversal of 1342101600 is 61012431.

It is a happy number.

1342101600 is a `hidden beast` number, since 13 + 42 + 10 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1561971 + ... + 1562829.

Almost surely, 2^1342101600 is an apocalyptic number.

1342101600 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 1342101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794821120).

1342101600 is an abundant number, since it is smaller than the sum of its proper divisors (4247540640).

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

1342101600 is a wasteful number, since it uses less digits than its factorization.

1342101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1342101600 is about 36634.7048575528. The cubic root of 1342101600 is about 1103.0498283300.

The spelling of 1342101600 in words is "one billion, three hundred forty-two million, one hundred one thousand, six hundred".