1342118592900 has 432 divisors, whose sum is σ = 4536563391360. Its totient is φ = 331043328000.

The previous prime is 1342118592887. The next prime is 1342118592931. The reversal of 1342118592900 is 92958112431.

1342118592900 is a `hidden beast` number, since 1 + 3 + 42 + 1 + 18 + 592 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89892636 + ... + 89907564.

Almost surely, 2^{1342118592900} is an apocalyptic number.

1342118592900 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 1342118592900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268281695680).

1342118592900 is an abundant number, since it is smaller than the sum of its proper divisors (3194444798460).

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

1342118592900 is a wasteful number, since it uses less digits than its factorization.

1342118592900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15116 (or 15106 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1342118592900 in words is "one trillion, three hundred forty-two billion, one hundred eighteen million, five hundred ninety-two thousand, nine hundred".