1378335717540 has 240 divisors, whose sum is σ = 4621033815552. Its totient is φ = 342701466624.

The previous prime is 1378335717503. The next prime is 1378335717547. The reversal of 1378335717540 is 457175338731.

1378335717540 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 33 + 57 + 17 + 540 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1378335717547) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2712909 + ... + 3180651.

Almost surely, 2^{1378335717540} is an apocalyptic number.

1378335717540 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 1378335717540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310516907776).

1378335717540 is an abundant number, since it is smaller than the sum of its proper divisors (3242698098012).

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

1378335717540 is a wasteful number, since it uses less digits than its factorization.

1378335717540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467888 (or 467877 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 1378335717540 in words is "one trillion, three hundred seventy-eight billion, three hundred thirty-five million, seven hundred seventeen thousand, five hundred forty".