4054755075840 has 1728 divisors, whose sum is σ = 17093273573376. Its totient is φ = 901241634816.

The previous prime is 4054755075817. The next prime is 4054755075841. The reversal of 4054755075840 is 485705574504.

It is a happy number.

4054755075840 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 7 + 5 + 50 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054755075841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15417319549 + ... + 15417319811.

Almost surely, 2^{4054755075840} is an apocalyptic number.

4054755075840 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 4054755075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8546636786688).

4054755075840 is an abundant number, since it is smaller than the sum of its proper divisors (13038518497536).

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

4054755075840 is an equidigital number, since it uses as much as digits as its factorization.

4054755075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 15680000, while the sum is 54.

The spelling of 4054755075840 in words is "four trillion, fifty-four billion, seven hundred fifty-five million, seventy-five thousand, eight hundred forty".