1201002031440 has 320 divisors, whose sum is σ = 4435580390400. Its totient is φ = 297611698176.

The previous prime is 1201002031433. The next prime is 1201002031447. The reversal of 1201002031440 is 441302001021.

1201002031440 is a `hidden beast` number, since 1 + 20 + 1 + 0 + 0 + 203 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1201002031433) and next prime (1201002031447).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201002031447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2693874 + ... + 3107886.

It is an arithmetic number, because the mean of its divisors is an integer number (13861188720).

Almost surely, 2^{1201002031440} is an apocalyptic number.

1201002031440 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 1201002031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217790195200).

1201002031440 is an abundant number, since it is smaller than the sum of its proper divisors (3234578358960).

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

1201002031440 is a wasteful number, since it uses less digits than its factorization.

1201002031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414131 (or 414119 counting only the distinct ones).

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

Adding to 1201002031440 its reverse (441302001021), we get a palindrome (1642304032461).

The spelling of 1201002031440 in words is "one trillion, two hundred one billion, two million, thirty-one thousand, four hundred forty".