420514105311300 has 1152 divisors, whose sum is σ = 1665308493434880. Its totient is φ = 79093815091200.

The previous prime is 420514105311227. The next prime is 420514105311317. The reversal of 420514105311300 is 3113501415024.

It is a super-2 number, since 2×420514105311300² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35221880731 + ... + 35221892669.

It is an arithmetic number, because the mean of its divisors is an integer number (1445580289440).

Almost surely, 2^{420514105311300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420514105311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832654246717440).

420514105311300 is an abundant number, since it is smaller than the sum of its proper divisors (1244794388123580).

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

420514105311300 is a wasteful number, since it uses less digits than its factorization.

420514105311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14253 (or 14246 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 420514105311300 its reverse (3113501415024), we get a palindrome (423627606726324).

The spelling of 420514105311300 in words is "four hundred twenty trillion, five hundred fourteen billion, one hundred five million, three hundred eleven thousand, three hundred".