1387940085504 has 360 divisors, whose sum is σ = 4733632965600. Its totient is φ = 396234104832.

The previous prime is 1387940085503. The next prime is 1387940085541. The reversal of 1387940085504 is 4055800497831.

1387940085504 is a `hidden beast` number, since 1 + 3 + 87 + 9 + 4 + 0 + 0 + 8 + 550 + 4 = 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 (1387940085503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224837362 + ... + 224843534.

It is an arithmetic number, because the mean of its divisors is an integer number (13148980460).

Almost surely, 2^{1387940085504} is an apocalyptic number.

1387940085504 is a gapful number since it is divisible by the number (14) 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 1387940085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366816482800).

1387940085504 is an abundant number, since it is smaller than the sum of its proper divisors (3345692880096).

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

1387940085504 is an equidigital number, since it uses as much as digits as its factorization.

1387940085504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7757 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1387940085504 in words is "one trillion, three hundred eighty-seven billion, nine hundred forty million, eighty-five thousand, five hundred four".