1375799040 has 864 divisors, whose sum is σ = 6263470080. Its totient is φ = 279797760.

The previous prime is 1375799017. The next prime is 1375799057. The reversal of 1375799040 is 409975731.

1375799040 is a `hidden beast` number, since 1 + 37 + 579 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29272297 + ... + 29272343.

Almost surely, 2^1375799040 is an apocalyptic number.

1375799040 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 1375799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131735040).

1375799040 is an abundant number, since it is smaller than the sum of its proper divisors (4887671040).

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

1375799040 is a wasteful number, since it uses less digits than its factorization.

1375799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 1375799040 is about 37091.7651238115. The cubic root of 1375799040 is about 1112.2054034588.

The spelling of 1375799040 in words is "one billion, three hundred seventy-five million, seven hundred ninety-nine thousand, forty".