1397975040 has 576 divisors, whose sum is σ = 6071345280. Its totient is φ = 289013760.

The previous prime is 1397975017. The next prime is 1397975041. The reversal of 1397975040 is 405797931.

1397975040 is a `hidden beast` number, since 139 + 7 + 9 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (1397975041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7096222 + ... + 7096418.

It is an arithmetic number, because the mean of its divisors is an integer number (10540530).

Almost surely, 2^1397975040 is an apocalyptic number.

1397975040 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 1397975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035672640).

1397975040 is an abundant number, since it is smaller than the sum of its proper divisors (4673370240).

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

1397975040 is a wasteful number, since it uses less digits than its factorization.

1397975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

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

The square root of 1397975040 is about 37389.5044096602. The cubic root of 1397975040 is about 1118.1493246015.

The spelling of 1397975040 in words is "one billion, three hundred ninety-seven million, nine hundred seventy-five thousand, forty".