42854699631744 has 3072 divisors, whose sum is σ = 179191014912000. Its totient is φ = 9837025689600.

The previous prime is 42854699631719. The next prime is 42854699631761. The reversal of 42854699631744 is 44713699645824.

42854699631744 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 469 + 96 + 3 + 1 + 74 + 4 = 666.

It is a super-3 number, since 3×42854699631744³ (a number of 42 digits) contains 333 as substring.

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

Its product of digits (1254113280) is a multiple of the sum of its prime factors (729).

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 383 ways as a sum of consecutive naturals, for example, 75315816292 + ... + 75315816860.

It is an arithmetic number, because the mean of its divisors is an integer number (58330408500).

Almost surely, 2^{42854699631744} is an apocalyptic number.

42854699631744 is a gapful number since it is divisible by the number (44) 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 42854699631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89595507456000).

42854699631744 is an abundant number, since it is smaller than the sum of its proper divisors (136336315280256).

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

42854699631744 is a wasteful number, since it uses less digits than its factorization.

42854699631744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 705 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 42854699631744 in words is "forty-two trillion, eight hundred fifty-four billion, six hundred ninety-nine million, six hundred thirty-one thousand, seven hundred forty-four".