10400414020 has 48 divisors (see below), whose sum is σ = 23470836480. Its totient is φ = 3857001984.

The previous prime is 10400413967. The next prime is 10400414033. The reversal of 10400414020 is 2041400401.

It is a super-2 number, since 2×10400414020² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10400413985 and 10400414003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205500 + ... + 251059.

It is an arithmetic number, because the mean of its divisors is an integer number (488975760).

Almost surely, 2^10400414020 is an apocalyptic number.

10400414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400414020 is an abundant number, since it is smaller than the sum of its proper divisors (13070422460).

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

10400414020 is a wasteful number, since it uses less digits than its factorization.

10400414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456652 (or 456650 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10400414020 its reverse (2041400401), we get a palindrome (12441814421).

The spelling of 10400414020 in words is "ten billion, four hundred million, four hundred fourteen thousand, twenty".