201402400440 has 256 divisors, whose sum is σ = 643745232000. Its totient is φ = 50311618560.

The previous prime is 201402400399. The next prime is 201402400447. The reversal of 201402400440 is 44004204102.

It is a super-2 number, since 2×201402400440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201402400447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50085630 + ... + 50089650.

Almost surely, 2^201402400440 is an apocalyptic number.

201402400440 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 201402400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321872616000).

201402400440 is an abundant number, since it is smaller than the sum of its proper divisors (442342831560).

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

201402400440 is a wasteful number, since it uses less digits than its factorization.

201402400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 201402400440 its reverse (44004204102), we get a palindrome (245406604542).

The spelling of 201402400440 in words is "two hundred one billion, four hundred two million, four hundred thousand, four hundred forty".