11254120040 has 64 divisors (see below), whose sum is σ = 25440330960. Its totient is φ = 4480634880.

The previous prime is 11254120027. The next prime is 11254120051. The reversal of 11254120040 is 4002145211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7008033796 + 4246086244 = 83714^2 + 65162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11254119994 and 11254120021.

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, 12832082 + ... + 12832958.

Almost surely, 2^11254120040 is an apocalyptic number.

11254120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11254120040 is an abundant number, since it is smaller than the sum of its proper divisors (14186210920).

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

11254120040 is a wasteful number, since it uses less digits than its factorization.

11254120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11254120040 its reverse (4002145211), we get a palindrome (15256265251).

The spelling of 11254120040 in words is "eleven billion, two hundred fifty-four million, one hundred twenty thousand, forty".