4032070007742 has 24 divisors (see below), whose sum is σ = 9984173352816. Its totient is φ = 1152020002176.

The previous prime is 4032070007741. The next prime is 4032070007839. The reversal of 4032070007742 is 2477000702304.

4032070007742 is a `hidden beast` number, since 403 + 207 + 0 + 0 + 0 + 7 + 7 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4032070007697 and 4032070007706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032070007741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16000277683 + ... + 16000277934.

It is an arithmetic number, because the mean of its divisors is an integer number (416007223034).

Almost surely, 2^{4032070007742} is an apocalyptic number.

4032070007742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4032070007742 is an abundant number, since it is smaller than the sum of its proper divisors (5952103345074).

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

4032070007742 is a wasteful number, since it uses less digits than its factorization.

4032070007742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32000555632 (or 32000555629 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 4032070007742 in words is "four trillion, thirty-two billion, seventy million, seven thousand, seven hundred forty-two".