201004034133440 has 112 divisors (see below), whose sum is σ = 486787346321760. Its totient is φ = 79033364398080.

The previous prime is 201004034133407. The next prime is 201004034133473. The reversal of 201004034133440 is 44331430400102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201004034133407) and next prime (201004034133473).

It is a super-2 number, since 2×201004034133440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275907260 + ... + 276634820.

Almost surely, 2^{201004034133440} is an apocalyptic number.

201004034133440 is a gapful number since it is divisible by the number (20) 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 201004034133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243393673160880).

201004034133440 is an abundant number, since it is smaller than the sum of its proper divisors (285783312188320).

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

201004034133440 is a wasteful number, since it uses less digits than its factorization.

201004034133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742270 (or 742260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 201004034133440 its reverse (44331430400102), we get a palindrome (245335464533542).

The spelling of 201004034133440 in words is "two hundred one trillion, four billion, thirty-four million, one hundred thirty-three thousand, four hundred forty".