454414140000 has 360 divisors, whose sum is σ = 1619105407920. Its totient is φ = 120852864000.

The previous prime is 454414139981. The next prime is 454414140041. The reversal of 454414140000 is 41414454.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 71456821 + ... + 71463179.

It is an arithmetic number, because the mean of its divisors is an integer number (4497515022).

Almost surely, 2^454414140000 is an apocalyptic number.

454414140000 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 454414140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809552703960).

454414140000 is an abundant number, since it is smaller than the sum of its proper divisors (1164691267920).

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

454414140000 is a wasteful number, since it uses less digits than its factorization.

454414140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 454414140000 its reverse (41414454), we get a palindrome (454455554454).

The spelling of 454414140000 in words is "four hundred fifty-four billion, four hundred fourteen million, one hundred forty thousand".