54074460018240 has 336 divisors, whose sum is σ = 189972911261952. Its totient is φ = 14111416885248.

The previous prime is 54074460018239. The next prime is 54074460018247. The reversal of 54074460018240 is 4281006447045.

54074460018240 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 4 + 4 + 600 + 18 + 24 + 0 = 666.

It is a super-2 number, since 2×54074460018240² (a number of 28 digits) contains 22 as substring.

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 (54074460018247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556216547 + ... + 1556251293.

It is an arithmetic number, because the mean of its divisors is an integer number (565395569232).

Almost surely, 2^{54074460018240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54074460018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94986455630976).

54074460018240 is an abundant number, since it is smaller than the sum of its proper divisors (135898451243712).

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

54074460018240 is a wasteful number, since it uses less digits than its factorization.

54074460018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46314 (or 46301 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 54074460018240 in words is "fifty-four trillion, seventy-four billion, four hundred sixty million, eighteen thousand, two hundred forty".