54434379767040 has 3456 divisors, whose sum is σ = 255349148221440. Its totient is φ = 10781361045504.

The previous prime is 54434379766993. The next prime is 54434379767057. The reversal of 54434379767040 is 4076797343445.

54434379767040 is a `hidden beast` number, since 5 + 4 + 4 + 3 + 437 + 97 + 6 + 70 + 40 = 666.

54434379767040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68299095922 + ... + 68299096718.

Almost surely, 2^{54434379767040} 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 54434379767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127674574110720).

54434379767040 is an abundant number, since it is smaller than the sum of its proper divisors (200914768454400).

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

54434379767040 is a wasteful number, since it uses less digits than its factorization.

54434379767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 63.

The spelling of 54434379767040 in words is "fifty-four trillion, four hundred thirty-four billion, three hundred seventy-nine million, seven hundred sixty-seven thousand, forty".