54364231434240 has 3040 divisors, whose sum is σ = 254761807474944. Its totient is φ = 10762919608320.

The previous prime is 54364231434221. The next prime is 54364231434283. The reversal of 54364231434240 is 4243413246345.

54364231434240 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 423 + 143 + 42 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 164242390875 + ... + 164242391205.

Almost surely, 2^{54364231434240} 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 54364231434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127380903737472).

54364231434240 is an abundant number, since it is smaller than the sum of its proper divisors (200397576040704).

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

54364231434240 is an equidigital number, since it uses as much as digits as its factorization.

54364231434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

The spelling of 54364231434240 in words is "fifty-four trillion, three hundred sixty-four billion, two hundred thirty-one million, four hundred thirty-four thousand, two hundred forty".