4054667984640 has 1728 divisors, whose sum is σ = 18487214333952. Its totient is φ = 827714764800.

The previous prime is 4054667984611. The next prime is 4054667984677. The reversal of 4054667984640 is 464897664504.

It is a happy number.

4054667984640 is a `hidden beast` number, since 4 + 0 + 5 + 466 + 7 + 98 + 46 + 40 = 666.

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

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 877441530 + ... + 877446150.

Almost surely, 2^{4054667984640} is an apocalyptic number.

4054667984640 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 4054667984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243607166976).

4054667984640 is an abundant number, since it is smaller than the sum of its proper divisors (14432546349312).

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

4054667984640 is a wasteful number, since it uses less digits than its factorization.

4054667984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 4054667984640 in words is "four trillion, fifty-four billion, six hundred sixty-seven million, nine hundred eighty-four thousand, six hundred forty".