42946742337408 has 1536 divisors, whose sum is σ = 165268905984000. Its totient is φ = 10383325396992.

The previous prime is 42946742337349. The next prime is 42946742337461. The reversal of 42946742337408 is 80473324764924.

42946742337408 is a `hidden beast` number, since 4 + 294 + 6 + 7 + 4 + 2 + 337 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19181214753 + ... + 19181216991.

It is an arithmetic number, because the mean of its divisors is an integer number (107596944000).

Almost surely, 2^{42946742337408} is an apocalyptic number.

42946742337408 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 42946742337408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82634452992000).

42946742337408 is an abundant number, since it is smaller than the sum of its proper divisors (122322163646592).

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

42946742337408 is a wasteful number, since it uses less digits than its factorization.

42946742337408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 42946742337408 in words is "forty-two trillion, nine hundred forty-six billion, seven hundred forty-two million, three hundred thirty-seven thousand, four hundred eight".