1201040640 has 216 divisors, whose sum is σ = 4191307848. Its totient is φ = 317521920.

The previous prime is 1201040629. The next prime is 1201040741. The reversal of 1201040640 is 460401021.

1201040640 is a `hidden beast` number, since 1 + 20 + 1 + 0 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 1201038336 = 48^2 + 34656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1577860 + ... + 1578620.

It is an arithmetic number, because the mean of its divisors is an integer number (19404203).

Almost surely, 2^1201040640 is an apocalyptic number.

1201040640 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 1201040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095653924).

1201040640 is an abundant number, since it is smaller than the sum of its proper divisors (2990267208).

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

1201040640 is a wasteful number, since it uses less digits than its factorization.

1201040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1201040640 is about 34656.0332409813. The cubic root of 1201040640 is about 1062.9656596005.

Adding to 1201040640 its reverse (460401021), we get a palindrome (1661441661).

It can be divided in two parts, 12010 and 40640, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 1201040640 in words is "one billion, two hundred one million, forty thousand, six hundred forty".