1375418070000 has 500 divisors, whose sum is σ = 5357174749080. Its totient is φ = 338561856000.

The previous prime is 1375418069989. The next prime is 1375418070011. The reversal of 1375418070000 is 708145731.

1375418070000 is a `hidden beast` number, since 1 + 37 + 541 + 80 + 7 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1375418069989) and next prime (1375418070011).

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 10464691 + ... + 10595309.

Almost surely, 2^{1375418070000} is an apocalyptic number.

1375418070000 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 1375418070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678587374540).

1375418070000 is an abundant number, since it is smaller than the sum of its proper divisors (3981756679080).

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

1375418070000 is a wasteful number, since it uses less digits than its factorization.

1375418070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130672 (or 130642 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 1375418070000 in words is "one trillion, three hundred seventy-five billion, four hundred eighteen million, seventy thousand".