42044740664640 has 224 divisors, whose sum is σ = 152603993032704. Its totient is φ = 9607602923520.

The previous prime is 42044740664573. The next prime is 42044740664659. The reversal of 42044740664640 is 4646604744024.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×42044740664640³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23816947 + ... + 25521293.

Almost surely, 2^{42044740664640} is an apocalyptic number.

42044740664640 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 42044740664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76301996516352).

42044740664640 is an abundant number, since it is smaller than the sum of its proper divisors (110559252368064).

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

42044740664640 is a wasteful number, since it uses less digits than its factorization.

42044740664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708045 (or 1708035 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 51.

The spelling of 42044740664640 in words is "forty-two trillion, forty-four billion, seven hundred forty million, six hundred sixty-four thousand, six hundred forty".