42576399360 has 1232 divisors, whose sum is σ = 179777234592. Its totient is φ = 9555148800.

The previous prime is 42576399233. The next prime is 42576399367. The reversal of 42576399360 is 6399367524.

42576399360 is a `hidden beast` number, since 4 + 2 + 576 + 3 + 9 + 9 + 3 + 60 = 666.

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 = 42576399297 and 42576399306.

It is not an unprimeable number, because it can be changed into a prime (42576399367) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 697973730 + ... + 697973790.

Almost surely, 2^42576399360 is an apocalyptic number.

42576399360 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 42576399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89888617296).

42576399360 is an abundant number, since it is smaller than the sum of its proper divisors (137200835232).

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

42576399360 is a wasteful number, since it uses less digits than its factorization.

42576399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 42576399360 in words is "forty-two billion, five hundred seventy-six million, three hundred ninety-nine thousand, three hundred sixty".