42597758245392 has 180 divisors, whose sum is σ = 138686915315676. Its totient is φ = 12170019778560.

The previous prime is 42597758245381. The next prime is 42597758245429. The reversal of 42597758245392 is 29354285779524.

42597758245392 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 7 + 7 + 5 + 82 + 4 + 539 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13009554479376 + 29588203766016 = 3606876^2 + 5439504^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 42597758245392.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116672148 + ... + 117036684.

Almost surely, 2^{42597758245392} is an apocalyptic number.

42597758245392 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 42597758245392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69343457657838).

42597758245392 is an abundant number, since it is smaller than the sum of its proper divisors (96089157070284).

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

42597758245392 is a wasteful number, since it uses less digits than its factorization.

42597758245392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381126 (or 381110 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 42597758245392 in words is "forty-two trillion, five hundred ninety-seven billion, seven hundred fifty-eight million, two hundred forty-five thousand, three hundred ninety-two".