42700358338560 has 1440 divisors, whose sum is σ = 170229990850920. Its totient is φ = 10225538039808.

The previous prime is 42700358338553. The next prime is 42700358338669. The reversal of 42700358338560 is 6583385300724.

It is a happy number.

42700358338560 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 0 + 3 + 583 + 3 + 8 + 56 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1556775936 + 42698801562624 = 39456^2 + 6534432^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 42700358338497 and 42700358338506.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5186484204 + ... + 5186492436.

Almost surely, 2^{42700358338560} is an apocalyptic number.

42700358338560 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 42700358338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85114995425460).

42700358338560 is an abundant number, since it is smaller than the sum of its proper divisors (127529632512360).

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

42700358338560 is a wasteful number, since it uses less digits than its factorization.

42700358338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 42700358338560 in words is "forty-two trillion, seven hundred billion, three hundred fifty-eight million, three hundred thirty-eight thousand, five hundred sixty".