10400124020 has 96 divisors (see below), whose sum is σ = 26020382976. Its totient is φ = 3441715200.

The previous prime is 10400124019. The next prime is 10400124071. The reversal of 10400124020 is 2042100401.

It is a junction number, because it is equal to n+sod(n) for n = 10400123986 and 10400124004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177452 + ... + 228668.

It is an arithmetic number, because the mean of its divisors is an integer number (271045656).

Almost surely, 2^10400124020 is an apocalyptic number.

10400124020 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 10400124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13010191488).

10400124020 is an abundant number, since it is smaller than the sum of its proper divisors (15620258956).

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

10400124020 is a wasteful number, since it uses less digits than its factorization.

10400124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51321 (or 51319 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10400124020 its reverse (2042100401), we get a palindrome (12442224421).

The spelling of 10400124020 in words is "ten billion, four hundred million, one hundred twenty-four thousand, twenty".