420130345115520 has 768 divisors, whose sum is σ = 1613289598502400. Its totient is φ = 100047716352000.

The previous prime is 420130345115479. The next prime is 420130345115521. The reversal of 420130345115520 is 25511543031024.

420130345115520 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 30 + 3 + 451 + 155 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420130345115521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7448959320 + ... + 7449015720.

It is an arithmetic number, because the mean of its divisors is an integer number (2100637498050).

Almost surely, 2^{420130345115520} is an apocalyptic number.

420130345115520 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 420130345115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806644799251200).

420130345115520 is an abundant number, since it is smaller than the sum of its proper divisors (1193159253386880).

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

420130345115520 is a wasteful number, since it uses less digits than its factorization.

420130345115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59679 (or 59664 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 420130345115520 its reverse (25511543031024), we get a palindrome (445641888146544).

The spelling of 420130345115520 in words is "four hundred twenty trillion, one hundred thirty billion, three hundred forty-five million, one hundred fifteen thousand, five hundred twenty".