1375971840 has 320 divisors, whose sum is σ = 5179489920. Its totient is φ = 345047040.

The previous prime is 1375971833. The next prime is 1375971847. The reversal of 1375971840 is 481795731.

1375971840 is a `hidden beast` number, since 1 + 3 + 7 + 597 + 18 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1375971833) and next prime (1375971847).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1375971847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174455 + ... + 1175625.

It is an arithmetic number, because the mean of its divisors is an integer number (16185906).

Almost surely, 2^1375971840 is an apocalyptic number.

1375971840 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 1375971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589744960).

1375971840 is an abundant number, since it is smaller than the sum of its proper divisors (3803518080).

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

1375971840 is a wasteful number, since it uses less digits than its factorization.

1375971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1375971840 is about 37094.0944086791. The cubic root of 1375971840 is about 1112.2519657455.

The spelling of 1375971840 in words is "one billion, three hundred seventy-five million, nine hundred seventy-one thousand, eight hundred forty".