1378357479000 has 448 divisors, whose sum is σ = 4867028094240. Its totient is φ = 365190508800.

The previous prime is 1378357478963. The next prime is 1378357479001. The reversal of 1378357479000 is 9747538731.

1378357479000 is a `hidden beast` number, since 137 + 8 + 35 + 7 + 479 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378357479001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 114446979 + ... + 114459021.

Almost surely, 2^{1378357479000} is an apocalyptic number.

1378357479000 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 1378357479000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433514047120).

1378357479000 is an abundant number, since it is smaller than the sum of its proper divisors (3488670615240).

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

1378357479000 is a wasteful number, since it uses less digits than its factorization.

1378357479000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12239 (or 12210 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 1378357479000 in words is "one trillion, three hundred seventy-eight billion, three hundred fifty-seven million, four hundred seventy-nine thousand".