42260137135650 has 576 divisors, whose sum is σ = 134159257829376. Its totient is φ = 9337455360000.

The previous prime is 42260137135591. The next prime is 42260137135691. The reversal of 42260137135650 is 5653173106224.

42260137135650 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 0 + 13 + 71 + 3 + 565 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42260137135596 and 42260137135605.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6114905695 + ... + 6114912605.

It is an arithmetic number, because the mean of its divisors is an integer number (232915378176).

Almost surely, 2^{42260137135650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42260137135650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67079628914688).

42260137135650 is an abundant number, since it is smaller than the sum of its proper divisors (91899120693726).

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

42260137135650 is a wasteful number, since it uses less digits than its factorization.

42260137135650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7487 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 42260137135650 in words is "forty-two trillion, two hundred sixty billion, one hundred thirty-seven million, one hundred thirty-five thousand, six hundred fifty".