42251386544640 has 2560 divisors, whose sum is σ = 199201650278400. Its totient is φ = 8238449295360.

The previous prime is 42251386544617. The next prime is 42251386544641. The reversal of 42251386544640 is 4644568315224.

42251386544640 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 1 + 38 + 6 + 544 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42251386544641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4899843369 + ... + 4899851991.

It is an arithmetic number, because the mean of its divisors is an integer number (77813144640).

Almost surely, 2^{42251386544640} is an apocalyptic number.

42251386544640 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 42251386544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99600825139200).

42251386544640 is an abundant number, since it is smaller than the sum of its proper divisors (156950263733760).

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

42251386544640 is a wasteful number, since it uses less digits than its factorization.

42251386544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8735 (or 8713 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 42251386544640 in words is "forty-two trillion, two hundred fifty-one billion, three hundred eighty-six million, five hundred forty-four thousand, six hundred forty".