1380094410240 has 1920 divisors, whose sum is σ = 6094841905152. Its totient is φ = 280921374720.

The previous prime is 1380094410217. The next prime is 1380094410323. The reversal of 1380094410240 is 420144900831.

It is a happy number.

1380094410240 is a `hidden beast` number, since 138 + 0 + 0 + 94 + 410 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 1380094410195 and 1380094410204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10866885057 + ... + 10866885183.

Almost surely, 2^{1380094410240} is an apocalyptic number.

1380094410240 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 1380094410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047420952576).

1380094410240 is an abundant number, since it is smaller than the sum of its proper divisors (4714747494912).

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

1380094410240 is a wasteful number, since it uses less digits than its factorization.

1380094410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1380094410240 in words is "one trillion, three hundred eighty billion, ninety-four million, four hundred ten thousand, two hundred forty".