454168542240 has 1440 divisors, whose sum is σ = 1928457148464. Its totient is φ = 100329062400.

The previous prime is 454168542239. The next prime is 454168542241. The reversal of 454168542240 is 42245861454.

454168542240 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 68 + 542 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (454168542239) and next prime (454168542241).

It can be written as a sum of positive squares in 8 ways, for example, as 328095257616 + 126073284624 = 572796^2 + 355068^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (454168542241) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4496718190 + ... + 4496718290.

Almost surely, 2^454168542240 is an apocalyptic number.

454168542240 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 454168542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964228574232).

454168542240 is an abundant number, since it is smaller than the sum of its proper divisors (1474288606224).

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

454168542240 is a wasteful number, since it uses less digits than its factorization.

454168542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 454168542240 in words is "four hundred fifty-four billion, one hundred sixty-eight million, five hundred forty-two thousand, two hundred forty".