42654457440000 has 3600 divisors, whose sum is σ = 194334457067520. Its totient is φ = 9092321280000.

The previous prime is 42654457439963. The next prime is 42654457440071. The reversal of 42654457440000 is 4475445624.

It is a happy number.

42654457440000 is a `hidden beast` number, since 4 + 26 + 54 + 4 + 574 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 81557279739 + ... + 81557280261.

Almost surely, 2^{42654457440000} is an apocalyptic number.

42654457440000 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 42654457440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97167228533760).

42654457440000 is an abundant number, since it is smaller than the sum of its proper divisors (151679999627520).

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

42654457440000 is an equidigital number, since it uses as much as digits as its factorization.

42654457440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 42654457440000 in words is "forty-two trillion, six hundred fifty-four billion, four hundred fifty-seven million, four hundred forty thousand".