1387945405476 has 384 divisors, whose sum is σ = 4408316559360. Its totient is φ = 369060240384.

The previous prime is 1387945405471. The next prime is 1387945405481. The reversal of 1387945405476 is 6745045497831.

1387945405476 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 9 + 45 + 40 + 547 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1387945405471) and next prime (1387945405481).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1387945405471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141376920 + ... + 141386736.

It is an arithmetic number, because the mean of its divisors is an integer number (11479991040).

Almost surely, 2^{1387945405476} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387945405476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204158279680).

1387945405476 is an abundant number, since it is smaller than the sum of its proper divisors (3020371153884).

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

1387945405476 is a wasteful number, since it uses less digits than its factorization.

1387945405476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10080 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 1387945405476 in words is "one trillion, three hundred eighty-seven billion, nine hundred forty-five million, four hundred five thousand, four hundred seventy-six".