454101420400000 has 192 divisors, whose sum is σ = 1158325821465120. Its totient is φ = 177210304000000.

The previous prime is 454101420399997. The next prime is 454101420400079. The reversal of 454101420400000 is 4024101454.

It is a super-3 number, since 3×454101420400000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2555445 + ... + 30244555.

Almost surely, 2^{454101420400000} is an apocalyptic number.

454101420400000 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 454101420400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579162910732560).

454101420400000 is an abundant number, since it is smaller than the sum of its proper divisors (704224401065120).

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

454101420400000 is an frugal number, since it uses more digits than its factorization.

454101420400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27689191 (or 27689159 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 454101420400000 its reverse (4024101454), we get a palindrome (454105444501454).

The spelling of 454101420400000 in words is "four hundred fifty-four trillion, one hundred one billion, four hundred twenty million, four hundred thousand".