10920407040 has 520 divisors, whose sum is σ = 40675195440. Its totient is φ = 2799304704.

The previous prime is 10920407033. The next prime is 10920407051. The reversal of 10920407040 is 4070402901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10920406995 and 10920407013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48107407 + ... + 48107633.

Almost surely, 2^10920407040 is an apocalyptic number.

10920407040 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 10920407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20337597720).

10920407040 is an abundant number, since it is smaller than the sum of its proper divisors (29754788400).

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

10920407040 is an equidigital number, since it uses as much as digits as its factorization.

10920407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10920407040 its reverse (4070402901), we get a palindrome (14990809941).

The spelling of 10920407040 in words is "ten billion, nine hundred twenty million, four hundred seven thousand, forty".