40430020210000 has 400 divisors, whose sum is σ = 101397974824080. Its totient is φ = 15603793920000.

The previous prime is 40430020209989. The next prime is 40430020210037. The reversal of 40430020210000 is 1202003404.

It can be written as a sum of positive squares in 40 ways, for example, as 30161097415744 + 10268922794256 = 5491912^2 + 3204516^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9103807780 + ... + 9103812220.

Almost surely, 2^{40430020210000} is an apocalyptic number.

40430020210000 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 40430020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50698987412040).

40430020210000 is an abundant number, since it is smaller than the sum of its proper divisors (60967954614080).

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

40430020210000 is a wasteful number, since it uses less digits than its factorization.

40430020210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40430020210000 its reverse (1202003404), we get a palindrome (40431222213404).

The spelling of 40430020210000 in words is "forty trillion, four hundred thirty billion, twenty million, two hundred ten thousand".