42734590778880 has 1600 divisors, whose sum is σ = 205510549483008. Its totient is φ = 8196804771840.

The previous prime is 42734590778827. The next prime is 42734590778923. The reversal of 42734590778880 is 8887709543724.

It is a happy number.

42734590778880 is a `hidden beast` number, since 4 + 27 + 3 + 4 + 590 + 7 + 7 + 8 + 8 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42734590778799 and 42734590778808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 207464419 + ... + 207670301.

Almost surely, 2^{42734590778880} is an apocalyptic number.

42734590778880 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 42734590778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102755274741504).

42734590778880 is an abundant number, since it is smaller than the sum of its proper divisors (162775958704128).

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

42734590778880 is a wasteful number, since it uses less digits than its factorization.

42734590778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205949 (or 205924 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 42734590778880 in words is "forty-two trillion, seven hundred thirty-four billion, five hundred ninety million, seven hundred seventy-eight thousand, eight hundred eighty".