42397683552 has 504 divisors, whose sum is σ = 150718579200. Its totient is φ = 11686768128.

The previous prime is 42397683533. The next prime is 42397683553. The reversal of 42397683552 is 25538679324.

42397683552 is a `hidden beast` number, since 4 + 2 + 3 + 9 + 7 + 6 + 83 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

Its product of digits (10886400) is a multiple of the sum of its prime factors (1350).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42397683553) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 33148449 + ... + 33149727.

It is an arithmetic number, because the mean of its divisors is an integer number (299044800).

Almost surely, 2^42397683552 is an apocalyptic number.

42397683552 is a gapful number since it is divisible by the number (42) 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 42397683552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75359289600).

42397683552 is an abundant number, since it is smaller than the sum of its proper divisors (108320895648).

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

42397683552 is a wasteful number, since it uses less digits than its factorization.

42397683552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1320 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

It can be divided in two parts, 423976 and 83552, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 42397683552 in words is "forty-two billion, three hundred ninety-seven million, six hundred eighty-three thousand, five hundred fifty-two".