4254549397920 has 288 divisors, whose sum is σ = 14744754984960. Its totient is φ = 1117014312960.

The previous prime is 4254549397919. The next prime is 4254549397939. The reversal of 4254549397920 is 297939454524.

4254549397920 is a `hidden beast` number, since 4 + 2 + 5 + 454 + 9 + 3 + 97 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23868486 + ... + 24046074.

It is an arithmetic number, because the mean of its divisors is an integer number (51197065920).

Almost surely, 2^{4254549397920} is an apocalyptic number.

4254549397920 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 4254549397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372377492480).

4254549397920 is an abundant number, since it is smaller than the sum of its proper divisors (10490205587040).

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

4254549397920 is a wasteful number, since it uses less digits than its factorization.

4254549397920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177868 (or 177857 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 4254549397920 in words is "four trillion, two hundred fifty-four billion, five hundred forty-nine million, three hundred ninety-seven thousand, nine hundred twenty".