1375419136000 has 1536 divisors, whose sum is σ = 4698117365760. Its totient is φ = 389283840000.

The previous prime is 1375419135973. The next prime is 1375419136033. The reversal of 1375419136000 is 6319145731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9108735925 + ... + 9108736075.

It is an arithmetic number, because the mean of its divisors is an integer number (3058670160).

Almost surely, 2^{1375419136000} is an apocalyptic number.

1375419136000 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 1375419136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349058682880).

1375419136000 is an abundant number, since it is smaller than the sum of its proper divisors (3322698229760).

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

1375419136000 is a wasteful number, since it uses less digits than its factorization.

1375419136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 1375419136000 in words is "one trillion, three hundred seventy-five billion, four hundred nineteen million, one hundred thirty-six thousand".