42636872448 has 288 divisors, whose sum is σ = 130162737600. Its totient is φ = 13756760064.

The previous prime is 42636872431. The next prime is 42636872471. The reversal of 42636872448 is 84427863624.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 42636872394 and 42636872403.

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, 74932708 + ... + 74933276.

It is an arithmetic number, because the mean of its divisors is an integer number (451953950).

Almost surely, 2^42636872448 is an apocalyptic number.

42636872448 is a gapful number since it is divisible by the number (48) 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 42636872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65081368800).

42636872448 is an abundant number, since it is smaller than the sum of its proper divisors (87525865152).

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

42636872448 is a wasteful number, since it uses less digits than its factorization.

42636872448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 904 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 42636872448 in words is "forty-two billion, six hundred thirty-six million, eight hundred seventy-two thousand, four hundred forty-eight".