42907439556000 has 960 divisors, whose sum is σ = 162838804512384. Its totient is φ = 11058218496000.

The previous prime is 42907439555977. The next prime is 42907439556061. The reversal of 42907439556000 is 65593470924.

42907439556000 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 74 + 3 + 9 + 5 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1421372907 + ... + 1421403093.

Almost surely, 2^{42907439556000} is an apocalyptic number.

42907439556000 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 42907439556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81419402256192).

42907439556000 is an abundant number, since it is smaller than the sum of its proper divisors (119931364956384).

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

42907439556000 is a wasteful number, since it uses less digits than its factorization.

42907439556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30372 (or 30345 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 42907439556000 in words is "forty-two trillion, nine hundred seven billion, four hundred thirty-nine million, five hundred fifty-six thousand".