10400130420 has 96 divisors (see below), whose sum is σ = 29807162112. Its totient is φ = 2708702208.

The previous prime is 10400130379. The next prime is 10400130439. The reversal of 10400130420 is 2403100401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10400130420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439614 + ... + 462666.

It is an arithmetic number, because the mean of its divisors is an integer number (310491272).

Almost surely, 2^10400130420 is an apocalyptic number.

10400130420 is a gapful number since it is divisible by the number (10) 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 10400130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903581056).

10400130420 is an abundant number, since it is smaller than the sum of its proper divisors (19407031692).

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

10400130420 is a wasteful number, since it uses less digits than its factorization.

10400130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23241 (or 23239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10400130420 its reverse (2403100401), we get a palindrome (12803230821).

It can be divided in two parts, 104001 and 30420, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 10400130420 in words is "ten billion, four hundred million, one hundred thirty thousand, four hundred twenty".