42964983533824 has 81 divisors (see below), whose sum is σ = 94270002027159. Its totient is φ = 19529013588480.

The previous prime is 42964983533767. The next prime is 42964983533887. The reversal of 42964983533824 is 42833538946924.

The square root of 42964983533824 is 6554768.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1153620547 + ... + 1153657789.

Almost surely, 2^{42964983533824} is an apocalyptic number.

42964983533824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42964983533824 is the 6554768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42964983533824

42964983533824 is an abundant number, since it is smaller than the sum of its proper divisors (51305018493335).

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

42964983533824 is an frugal number, since it uses more digits than its factorization.

42964983533824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74524 (or 37256 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 70.

The spelling of 42964983533824 in words is "forty-two trillion, nine hundred sixty-four billion, nine hundred eighty-three million, five hundred thirty-three thousand, eight hundred twenty-four".