1393786427040 has 480 divisors, whose sum is σ = 5736350188800. Its totient is φ = 318578738688.

The previous prime is 1393786427029. The next prime is 1393786427041. The reversal of 1393786427040 is 407246873931.

1393786427040 is a `hidden beast` number, since 13 + 93 + 7 + 86 + 427 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (1393786427041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4288509 + ... + 4602051.

It is an arithmetic number, because the mean of its divisors is an integer number (11950729560).

Almost surely, 2^{1393786427040} is an apocalyptic number.

1393786427040 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 1393786427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868175094400).

1393786427040 is an abundant number, since it is smaller than the sum of its proper divisors (4342563761760).

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

1393786427040 is an equidigital number, since it uses as much as digits as its factorization.

1393786427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313591 (or 313560 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1393786427040 in words is "one trillion, three hundred ninety-three billion, seven hundred eighty-six million, four hundred twenty-seven thousand, forty".