42906774290688 has 1728 divisors, whose sum is σ = 168507124531200. Its totient is φ = 10783284019200.

The previous prime is 42906774290687. The next prime is 42906774290717. The reversal of 42906774290688 is 88609247760924.

42906774290688 is a `hidden beast` number, since 42 + 90 + 6 + 77 + 429 + 0 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (42906774290687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7276031356 + ... + 7276037252.

Almost surely, 2^{42906774290688} is an apocalyptic number.

42906774290688 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 42906774290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84253562265600).

42906774290688 is an abundant number, since it is smaller than the sum of its proper divisors (125600350240512).

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

42906774290688 is an equidigital number, since it uses as much as digits as its factorization.

42906774290688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 42906774290688 in words is "forty-two trillion, nine hundred six billion, seven hundred seventy-four million, two hundred ninety thousand, six hundred eighty-eight".