54240147877440 has 448 divisors, whose sum is σ = 201887525412864. Its totient is φ = 12080496648192.

The previous prime is 54240147877411. The next prime is 54240147877441. The reversal of 54240147877440 is 4477874104245.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (54240147877441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71317414 + ... + 72073946.

Almost surely, 2^{54240147877440} 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 54240147877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100943762706432).

54240147877440 is an abundant number, since it is smaller than the sum of its proper divisors (147647377535424).

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

54240147877440 is a wasteful number, since it uses less digits than its factorization.

54240147877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756834 (or 756824 counting only the distinct ones).

The product of its (nonzero) digits is 28098560, while the sum is 57.

The spelling of 54240147877440 in words is "fifty-four trillion, two hundred forty billion, one hundred forty-seven million, eight hundred seventy-seven thousand, four hundred forty".