454109802945120 has 2880 divisors, whose sum is σ = 2053143312675840. Its totient is φ = 93889190707200.

The previous prime is 454109802945109. The next prime is 454109802945131. The reversal of 454109802945120 is 21549208901454.

454109802945120 is a `hidden beast` number, since 4 + 5 + 4 + 10 + 98 + 0 + 29 + 4 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (454109802945109) and next prime (454109802945131).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 23250709755 + ... + 23250729285.

It is an arithmetic number, because the mean of its divisors is an integer number (712896983568).

Almost surely, 2^{454109802945120} is an apocalyptic number.

454109802945120 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 454109802945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026571656337920).

454109802945120 is an abundant number, since it is smaller than the sum of its proper divisors (1599033509730720).

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

454109802945120 is a wasteful number, since it uses less digits than its factorization.

454109802945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19679 (or 19655 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 454109802945120 in words is "four hundred fifty-four trillion, one hundred nine billion, eight hundred two million, nine hundred forty-five thousand, one hundred twenty".