2454012040040 has 96 divisors (see below), whose sum is σ = 6070513680000. Its totient is φ = 892162592640.

The previous prime is 2454012040027. The next prime is 2454012040127. The reversal of 2454012040040 is 400402104542.

It is a super-5 number, since 5×2454012040040⁵ (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2454012039991 and 2454012040009.

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 23 ways as a sum of consecutive naturals, for example, 21815861 + ... + 21928059.

It is an arithmetic number, because the mean of its divisors is an integer number (63234517500).

Almost surely, 2^{2454012040040} is an apocalyptic number.

2454012040040 is a gapful number since it is divisible by the number (20) 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 2454012040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035256840000).

2454012040040 is an abundant number, since it is smaller than the sum of its proper divisors (3616501639960).

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

2454012040040 is a wasteful number, since it uses less digits than its factorization.

2454012040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116751 (or 116736 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 2454012040040 its reverse (400402104542), we get a palindrome (2854414144582).

The spelling of 2454012040040 in words is "two trillion, four hundred fifty-four billion, twelve million, forty thousand, forty".