454126105440 has 576 divisors, whose sum is σ = 1956824303616. Its totient is φ = 93445963776.

The previous prime is 454126105427. The next prime is 454126105481. The reversal of 454126105440 is 44501621454.

454126105440 is a `hidden beast` number, since 4 + 54 + 1 + 2 + 61 + 0 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 454126105395 and 454126105404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3883669 + ... + 3998891.

It is an arithmetic number, because the mean of its divisors is an integer number (3397264416).

Almost surely, 2^454126105440 is an apocalyptic number.

454126105440 is a gapful number since it is divisible by the number (40) 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 454126105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978412151808).

454126105440 is an abundant number, since it is smaller than the sum of its proper divisors (1502698198176).

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

454126105440 is a wasteful number, since it uses less digits than its factorization.

454126105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115291 (or 115280 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 454126105440 its reverse (44501621454), we get a palindrome (498627726894).

The spelling of 454126105440 in words is "four hundred fifty-four billion, one hundred twenty-six million, one hundred five thousand, four hundred forty".