1376018142100 has 360 divisors, whose sum is σ = 3602862011448. Its totient is φ = 455828889600.

The previous prime is 1376018142049. The next prime is 1376018142131. The reversal of 1376018142100 is 12418106731.

It can be written as a sum of positive squares in 12 ways, for example, as 985338140164 + 390680001936 = 992642^2 + 625044^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1112382682 + ... + 1112383918.

Almost surely, 2^{1376018142100} is an apocalyptic number.

1376018142100 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 1376018142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801431005724).

1376018142100 is an abundant number, since it is smaller than the sum of its proper divisors (2226843869348).

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

1376018142100 is a wasteful number, since it uses less digits than its factorization.

1376018142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 1376018142100 in words is "one trillion, three hundred seventy-six billion, eighteen million, one hundred forty-two thousand, one hundred".