402202100201440 has 576 divisors, whose sum is σ = 1208797171968960. Its totient is φ = 125052868362240.

The previous prime is 402202100201417. The next prime is 402202100201459. The reversal of 402202100201440 is 44102001202204.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72221598976 + ... + 72221604544.

It is an arithmetic number, because the mean of its divisors is an integer number (2098606201335).

Almost surely, 2^{402202100201440} is an apocalyptic number.

402202100201440 is a gapful number since it is divisible by the number (40) 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 402202100201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604398585984480).

402202100201440 is an abundant number, since it is smaller than the sum of its proper divisors (806595071767520).

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

402202100201440 is a wasteful number, since it uses less digits than its factorization.

402202100201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 402202100201440 its reverse (44102001202204), we get a palindrome (446304101403644).

The spelling of 402202100201440 in words is "four hundred two trillion, two hundred two billion, one hundred million, two hundred one thousand, four hundred forty".