420401013401130 has 128 divisors (see below), whose sum is σ = 1038347829927936. Its totient is φ = 108878635008000.

The previous prime is 420401013401113. The next prime is 420401013401137. The reversal of 420401013401130 is 31104310104024.

It is a self number, because there is not a number n which added to its sum of digits gives 420401013401130.

It is not an unprimeable number, because it can be changed into a prime (420401013401137) 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, 4728716259 + ... + 4728805161.

It is an arithmetic number, because the mean of its divisors is an integer number (8112092421312).

Almost surely, 2^{420401013401130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420401013401130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519173914963968).

420401013401130 is an abundant number, since it is smaller than the sum of its proper divisors (617946816526806).

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

420401013401130 is a wasteful number, since it uses less digits than its factorization.

420401013401130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114692.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 420401013401130 its reverse (31104310104024), we get a palindrome (451505323505154).

The spelling of 420401013401130 in words is "four hundred twenty trillion, four hundred one billion, thirteen million, four hundred one thousand, one hundred thirty".